68155637760 has 1024 divisors, whose sum is σ = 289905868800. Its totient is φ = 14863564800.

The previous prime is 68155637749. The next prime is 68155637779. The reversal of 68155637760 is 6773655186.

68155637760 is a `hidden beast` number, since 6 + 8 + 1 + 5 + 563 + 7 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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 = 68155637697 and 68155637706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 959938525 + ... + 959938595.

It is an arithmetic number, because the mean of its divisors is an integer number (283111200).

Almost surely, 2^68155637760 is an apocalyptic number.

68155637760 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 68155637760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144952934400).

68155637760 is an abundant number, since it is smaller than the sum of its proper divisors (221750231040).

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

68155637760 is an equidigital number, since it uses as much as digits as its factorization.

68155637760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 68155637760 in words is "sixty-eight billion, one hundred fifty-five million, six hundred thirty-seven thousand, seven hundred sixty".