32172664320 has 320 divisors, whose sum is σ = 114903360000. Its totient is φ = 8532615168.

The previous prime is 32172664313. The next prime is 32172664327. The reversal of 32172664320 is 2346627123.

32172664320 is a `hidden beast` number, since 3 + 2 + 1 + 7 + 2 + 6 + 643 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (32172664313) and next prime (32172664327).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32172664327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13753711 + ... + 13756049.

It is an arithmetic number, because the mean of its divisors is an integer number (359073000).

Almost surely, 2^32172664320 is an apocalyptic number.

32172664320 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 32172664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57451680000).

32172664320 is an abundant number, since it is smaller than the sum of its proper divisors (82730695680).

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

32172664320 is a wasteful number, since it uses less digits than its factorization.

32172664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 32172664320 in words is "thirty-two billion, one hundred seventy-two million, six hundred sixty-four thousand, three hundred twenty".