32712916656000 has 2304 divisors, whose sum is σ = 133906428452160. Its totient is φ = 7039549440000.

The previous prime is 32712916655999. The next prime is 32712916656011. The reversal of 32712916656000 is 65661921723.

32712916656000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×32712916656000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 92671151824 + ... + 92671152176.

Almost surely, 2^{32712916656000} is an apocalyptic number.

32712916656000 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 32712916656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66953214226080).

32712916656000 is an abundant number, since it is smaller than the sum of its proper divisors (101193511796160).

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

32712916656000 is a wasteful number, since it uses less digits than its factorization.

32712916656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 32712916656000 in words is "thirty-two trillion, seven hundred twelve billion, nine hundred sixteen million, six hundred fifty-six thousand".