68545582560 has 2160 divisors, whose sum is σ = 333746161056. Its totient is φ = 13105483776.

The previous prime is 68545582549. The next prime is 68545582561. The reversal of 68545582560 is 6528554586.

It is a happy number.

68545582560 is a `hidden beast` number, since 6 + 8 + 5 + 4 + 5 + 582 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a junction number, because it is equal to n+sod(n) for n = 68545582497 and 68545582506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68545582561) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2980242709 + ... + 2980242731.

Almost surely, 2^68545582560 is an apocalyptic number.

68545582560 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 68545582560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166873080528).

68545582560 is an abundant number, since it is smaller than the sum of its proper divisors (265200578496).

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

68545582560 is a wasteful number, since it uses less digits than its factorization.

68545582560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 68545582560 in words is "sixty-eight billion, five hundred forty-five million, five hundred eighty-two thousand, five hundred sixty".