9913802976 has 1152 divisors, whose sum is σ = 41184460800. Its totient is φ = 2258150400.

The previous prime is 9913802963. The next prime is 9913803001. The reversal of 9913802976 is 6792083199.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 319800081 + ... + 319800111.

It is an arithmetic number, because the mean of its divisors is an integer number (35750400).

Almost surely, 2^9913802976 is an apocalyptic number.

9913802976 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9913802976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20592230400).

9913802976 is an abundant number, since it is smaller than the sum of its proper divisors (31270657824).

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

9913802976 is a wasteful number, since it uses less digits than its factorization.

9913802976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 9913802976 is about 99568.0821147018. The cubic root of 9913802976 is about 2148.2266231978.

The spelling of 9913802976 in words is "nine billion, nine hundred thirteen million, eight hundred two thousand, nine hundred seventy-six".