9901766875 has 320 divisors, whose sum is σ = 18893952000. Its totient is φ = 5080320000.

The previous prime is 9901766851. The next prime is 9901766879. The reversal of 9901766875 is 5786671099.

It is not a de Polignac number, because 9901766875 - 2⁷ = 9901766747 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9901766879) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 521145616 + ... + 521145634.

It is an arithmetic number, because the mean of its divisors is an integer number (59043600).

Almost surely, 2^9901766875 is an apocalyptic number.

9901766875 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

9901766875 is a deficient number, since it is larger than the sum of its proper divisors (8992185125).

9901766875 is a wasteful number, since it uses less digits than its factorization.

9901766875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 58.

The square root of 9901766875 is about 99507.6221954881. The cubic root of 9901766875 is about 2147.3569016741.

The spelling of 9901766875 in words is "nine billion, nine hundred one million, seven hundred sixty-six thousand, eight hundred seventy-five".