968802750099648 has 560 divisors, whose sum is σ = 2895679312373760. Its totient is φ = 320265259776000.

The previous prime is 968802750099629. The next prime is 968802750099733. The reversal of 968802750099648 is 846990057208869.

968802750099648 is a `hidden beast` number, since 9 + 6 + 8 + 80 + 27 + 500 + 9 + 9 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 862691673615 + ... + 862691674737.

Almost surely, 2^{968802750099648} 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 968802750099648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447839656186880).

968802750099648 is an abundant number, since it is smaller than the sum of its proper divisors (1926876562274112).

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

968802750099648 is a wasteful number, since it uses less digits than its factorization.

968802750099648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 3762339840, while the sum is 81.

The spelling of 968802750099648 in words is "nine hundred sixty-eight trillion, eight hundred two billion, seven hundred fifty million, ninety-nine thousand, six hundred forty-eight".