31664102400 has 792 divisors, whose sum is σ = 134234399520. Its totient is φ = 6977617920.

The previous prime is 31664102399. The next prime is 31664102401. The reversal of 31664102400 is 420146613.

31664102400 is a `hidden beast` number, since 3 + 1 + 6 + 6 + 410 + 240 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31664102399) and next prime (31664102401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31664102401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46770862 + ... + 46771538.

Almost surely, 2^31664102400 is an apocalyptic number.

31664102400 is a gapful number since it is divisible by the number (30) 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 31664102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67117199760).

31664102400 is an abundant number, since it is smaller than the sum of its proper divisors (102570297120).

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

31664102400 is a wasteful number, since it uses less digits than its factorization.

31664102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 31664102400 in words is "thirty-one billion, six hundred sixty-four million, one hundred two thousand, four hundred".