32538412074672 has 320 divisors, whose sum is σ = 112128180480000. Its totient is φ = 8832801364992.

The previous prime is 32538412074643. The next prime is 32538412074697. The reversal of 32538412074672 is 27647021483523.

32538412074672 is a `hidden beast` number, since 3 + 2 + 5 + 384 + 120 + 74 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8793354 + ... + 11933142.

It is an arithmetic number, because the mean of its divisors is an integer number (350400564000).

Almost surely, 2^{32538412074672} 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 32538412074672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56064090240000).

32538412074672 is an abundant number, since it is smaller than the sum of its proper divisors (79589768405328).

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

32538412074672 is a wasteful number, since it uses less digits than its factorization.

32538412074672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139985 (or 3139973 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 32538412074672 in words is "thirty-two trillion, five hundred thirty-eight billion, four hundred twelve million, seventy-four thousand, six hundred seventy-two".