9951636864 has 256 divisors, whose sum is σ = 29709711360. Its totient is φ = 2930688000.

The previous prime is 9951636857. The next prime is 9951636911. The reversal of 9951636864 is 4686361599.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16558164 + ... + 16558764.

It is an arithmetic number, because the mean of its divisors is an integer number (116053560).

Almost surely, 2^9951636864 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 9951636864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14854855680).

9951636864 is an abundant number, since it is smaller than the sum of its proper divisors (19758074496).

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

9951636864 is a wasteful number, since it uses less digits than its factorization.

9951636864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 757 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 57.

The square root of 9951636864 is about 99757.8912367337. The cubic root of 9951636864 is about 2150.9559018893.

It can be divided in two parts, 9951 and 636864, that multiplied together give a square (6337433664 = 79608²).

The spelling of 9951636864 in words is "nine billion, nine hundred fifty-one million, six hundred thirty-six thousand, eight hundred sixty-four".