32130646732800 has 1872 divisors, whose sum is σ = 146207013009408. Its totient is φ = 6549759590400.

The previous prime is 32130646732783. The next prime is 32130646732841. The reversal of 32130646732800 is 823764603123.

32130646732800 is a `hidden beast` number, since 3 + 2 + 1 + 306 + 4 + 67 + 3 + 280 + 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, 3761045329 + ... + 3761053871.

It is an arithmetic number, because the mean of its divisors is an integer number (78102036864).

Almost surely, 2^{32130646732800} is an apocalyptic number.

32130646732800 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 32130646732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73103506504704).

32130646732800 is an abundant number, since it is smaller than the sum of its proper divisors (114076366276608).

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

32130646732800 is a wasteful number, since it uses less digits than its factorization.

32130646732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8654 (or 8624 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 32130646732800 in words is "thirty-two trillion, one hundred thirty billion, six hundred forty-six million, seven hundred thirty-two thousand, eight hundred".