968139930240 has 1152 divisors, whose sum is σ = 4042246291200. Its totient is φ = 212737867776.

The previous prime is 968139930223. The next prime is 968139930253. The reversal of 968139930240 is 42039931869.

968139930240 is a `hidden beast` number, since 9 + 6 + 8 + 1 + 399 + 3 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×968139930240² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 782650902 + ... + 782652138.

It is an arithmetic number, because the mean of its divisors is an integer number (3508894350).

Almost surely, 2^968139930240 is an apocalyptic number.

968139930240 is a gapful number since it is divisible by the number (90) 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 968139930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021123145600).

968139930240 is an abundant number, since it is smaller than the sum of its proper divisors (3074106360960).

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

968139930240 is a wasteful number, since it uses less digits than its factorization.

968139930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 968139930240 in words is "nine hundred sixty-eight billion, one hundred thirty-nine million, nine hundred thirty thousand, two hundred forty".