68613672960 has 936 divisors, whose sum is σ = 283180038336. Its totient is φ = 15317729280.

The previous prime is 68613672947. The next prime is 68613672973. The reversal of 68613672960 is 6927631686.

It is an interprime number because it is at equal distance from previous prime (68613672947) and next prime (68613672973).

It is a super-2 number, since 2×68613672960² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68613672897 and 68613672906.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 641249227 + ... + 641249333.

It is an arithmetic number, because the mean of its divisors is an integer number (302542776).

Almost surely, 2^68613672960 is an apocalyptic number.

68613672960 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 68613672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141590019168).

68613672960 is an abundant number, since it is smaller than the sum of its proper divisors (214566365376).

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

68613672960 is a wasteful number, since it uses less digits than its factorization.

68613672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 68613672960 in words is "sixty-eight billion, six hundred thirteen million, six hundred seventy-two thousand, nine hundred sixty".