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68780814336 = 212341337431
BaseRepresentation
bin100000000001110100…
…1111111000000000000
320120112110020101120000
41000003221333000000
52111330342024321
651333015320000
74653311163333
oct1000351770000
9216473211500
1068780814336
1127195a81913
12113b6680000
136641996610
143486b3061a
151bc8585826
hex1003a7f000

68780814336 has 520 divisors, whose sum is σ = 227781094464. Its totient is φ = 20543569920.

The previous prime is 68780814331. The next prime is 68780814341. The reversal of 68780814336 is 63341808786.

68780814336 is a `hidden beast` number, since 68 + 78 + 0 + 81 + 433 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (68780814331) and next prime (68780814341).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68780814331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159584041 + ... + 159584471.

Almost surely, 268780814336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68780814336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113890547232).

68780814336 is an abundant number, since it is smaller than the sum of its proper divisors (159000280128).

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

68780814336 is a wasteful number, since it uses less digits than its factorization.

68780814336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 68780814336 in words is "sixty-eight billion, seven hundred eighty million, eight hundred fourteen thousand, three hundred thirty-six".