68656757760 has 352 divisors, whose sum is σ = 249208657920. Its totient is φ = 17917231104.

The previous prime is 68656757737. The next prime is 68656757761. The reversal of 68656757760 is 6775765686.

68656757760 is a `hidden beast` number, since 6 + 8 + 6 + 56 + 7 + 577 + 6 + 0 = 666.

68656757760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×68656757760² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68656757761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6491997 + ... + 6502563.

Almost surely, 2^68656757760 is an apocalyptic number.

68656757760 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 68656757760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124604328960).

68656757760 is an abundant number, since it is smaller than the sum of its proper divisors (180551900160).

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

68656757760 is a wasteful number, since it uses less digits than its factorization.

68656757760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10648 (or 10624 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 68656757760 in words is "sixty-eight billion, six hundred fifty-six million, seven hundred fifty-seven thousand, seven hundred sixty".