36745332005376 has 480 divisors, whose sum is σ = 110695037207040. Its totient is φ = 11721181593600.

The previous prime is 36745332005359. The next prime is 36745332005383. The reversal of 36745332005376 is 67350023354763.

36745332005376 is a `hidden beast` number, since 3 + 6 + 74 + 5 + 3 + 32 + 0 + 0 + 537 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8890714606 + ... + 8890718738.

It is an arithmetic number, because the mean of its divisors is an integer number (230614660848).

Almost surely, 2^{36745332005376} is an apocalyptic number.

36745332005376 is a gapful number since it is divisible by the number (36) 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 36745332005376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55347518603520).

36745332005376 is an abundant number, since it is smaller than the sum of its proper divisors (73949705201664).

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

36745332005376 is a wasteful number, since it uses less digits than its factorization.

36745332005376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4868 (or 4849 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 54.

The spelling of 36745332005376 in words is "thirty-six trillion, seven hundred forty-five billion, three hundred thirty-two million, five thousand, three hundred seventy-six".