9968024792880 has 480 divisors, whose sum is σ = 43282042771968. Its totient is φ = 2071277568000.

The previous prime is 9968024792857. The next prime is 9968024792897. The reversal of 9968024792880 is 882974208699.

9968024792880 is a `hidden beast` number, since 99 + 68 + 0 + 2 + 479 + 2 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9968024792799 and 9968024792808.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1832721 + ... + 4826480.

Almost surely, 2^{9968024792880} is an apocalyptic number.

9968024792880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9968024792880 is an abundant number, since it is smaller than the sum of its proper divisors (33314017979088).

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

9968024792880 is a wasteful number, since it uses less digits than its factorization.

9968024792880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6659247 (or 6659229 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 9968024792880 in words is "nine trillion, nine hundred sixty-eight billion, twenty-four million, seven hundred ninety-two thousand, eight hundred eighty".