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68069376207360 = 2933511273111491
BaseRepresentation
bin11110111101000101000101…
…11111010010101000000000
322221000100221212100102002000
433132202202333102220000
532410222040302113420
6400434350103224000
720223564412122123
oct1736424277225000
9287010855312060
1068069376207360
111a764073338800
127774374448000
132bc9bb75b0908
1412b480ac103ba
157d09924ab690
hex3de8a2fd2a00

68069376207360 has 960 divisors, whose sum is σ = 269410142897280. Its totient is φ = 16275470745600.

The previous prime is 68069376207337. The next prime is 68069376207367. The reversal of 68069376207360 is 6370267396086.

It is a happy number.

68069376207360 is a `hidden beast` number, since 6 + 8 + 0 + 69 + 3 + 7 + 6 + 207 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (68069376207367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 610481215 + ... + 610592705.

It is an arithmetic number, because the mean of its divisors is an integer number (280635565518).

Almost surely, 268069376207360 is an apocalyptic number.

68069376207360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68069376207360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134705071448640).

68069376207360 is an abundant number, since it is smaller than the sum of its proper divisors (201340766689920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68069376207360 is a wasteful number, since it uses less digits than its factorization.

68069376207360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111618 (or 111585 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 68069376207360 in words is "sixty-eight trillion, sixty-nine billion, three hundred seventy-six million, two hundred seven thousand, three hundred sixty".