968235972600 has 768 divisors, whose sum is σ = 3486276864000. Its totient is φ = 220395479040.

The previous prime is 968235972569. The next prime is 968235972617. The reversal of 968235972600 is 6279532869.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1320921834 + ... + 1320922566.

It is an arithmetic number, because the mean of its divisors is an integer number (4539423000).

Almost surely, 2^968235972600 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 968235972600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743138432000).

968235972600 is an abundant number, since it is smaller than the sum of its proper divisors (2518040891400).

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

968235972600 is a wasteful number, since it uses less digits than its factorization.

968235972600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 968235972600 in words is "nine hundred sixty-eight billion, two hundred thirty-five million, nine hundred seventy-two thousand, six hundred".