68702565120 has 1152 divisors, whose sum is σ = 287789967360. Its totient is φ = 13589544960.

The previous prime is 68702565097. The next prime is 68702565133. The reversal of 68702565120 is 2156520786.

It is a super-2 number, since 2×68702565120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 355971744 + ... + 355971936.

It is an arithmetic number, because the mean of its divisors is an integer number (249817680).

Almost surely, 2^68702565120 is an apocalyptic number.

68702565120 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 68702565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143894983680).

68702565120 is an abundant number, since it is smaller than the sum of its proper divisors (219087402240).

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

68702565120 is a wasteful number, since it uses less digits than its factorization.

68702565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 68702565120 in words is "sixty-eight billion, seven hundred two million, five hundred sixty-five thousand, one hundred twenty".