968677410400 has 288 divisors, whose sum is σ = 2936632043520. Its totient is φ = 304487424000.

The previous prime is 968677410373. The next prime is 968677410401. The reversal of 968677410400 is 4014776869.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968677410401) 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, 3151560 + ... + 3445240.

It is an arithmetic number, because the mean of its divisors is an integer number (10196639040).

Almost surely, 2^968677410400 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 968677410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468316021760).

968677410400 is an abundant number, since it is smaller than the sum of its proper divisors (1967954633120).

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

968677410400 is a wasteful number, since it uses less digits than its factorization.

968677410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293758 (or 293745 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 968677410400 in words is "nine hundred sixty-eight billion, six hundred seventy-seven million, four hundred ten thousand, four hundred".