9901631880 has 576 divisors, whose sum is σ = 40718246400. Its totient is φ = 2072770560.

The previous prime is 9901631869. The next prime is 9901631941. The reversal of 9901631880 is 881361099.

9901631880 is a `hidden beast` number, since 9 + 9 + 0 + 1 + 631 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10389484 + ... + 10390436.

It is an arithmetic number, because the mean of its divisors is an integer number (70691400).

Almost surely, 2^9901631880 is an apocalyptic number.

9901631880 is a gapful number since it is divisible by the number (90) 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 9901631880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20359123200).

9901631880 is an abundant number, since it is smaller than the sum of its proper divisors (30816614520).

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

9901631880 is a wasteful number, since it uses less digits than its factorization.

9901631880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 9901631880 is about 99506.9438783043. The cubic root of 9901631880 is about 2147.3471430197.

The spelling of 9901631880 in words is "nine billion, nine hundred one million, six hundred thirty-one thousand, eight hundred eighty".