968993934400 has 336 divisors, whose sum is σ = 2595265423632. Its totient is φ = 354648064000.

The previous prime is 968993934397. The next prime is 968993934407. The reversal of 968993934400 is 4439399869.

It can be written as a sum of positive squares in 24 ways, for example, as 952513537024 + 16480397376 = 975968^2 + 128376^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (968993934407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353517030 + ... + 353519770.

It is an arithmetic number, because the mean of its divisors is an integer number (7724004237).

Almost surely, 2^968993934400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968993934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297632711816).

968993934400 is an abundant number, since it is smaller than the sum of its proper divisors (1626271489232).

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

968993934400 is a wasteful number, since it uses less digits than its factorization.

968993934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 64.

The spelling of 968993934400 in words is "nine hundred sixty-eight billion, nine hundred ninety-three million, nine hundred thirty-four thousand, four hundred".