36647521459680 has 768 divisors, whose sum is σ = 120768757401600. Its totient is φ = 9336080302080.

The previous prime is 36647521459657. The next prime is 36647521459709. The reversal of 36647521459680 is 8695412574663.

It is a super-2 number, since 2×36647521459680² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47656074336 + ... + 47656075104.

It is an arithmetic number, because the mean of its divisors is an integer number (157250986200).

It is a 1-persistent number, because it is pandigital, but 2⋅36647521459680 = 73295042919360 is not.

Almost surely, 2^{36647521459680} is an apocalyptic number.

36647521459680 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 36647521459680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60384378700800).

36647521459680 is an abundant number, since it is smaller than the sum of its proper divisors (84121235941920).

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

36647521459680 is a wasteful number, since it uses less digits than its factorization.

36647521459680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 66.

The spelling of 36647521459680 in words is "thirty-six trillion, six hundred forty-seven billion, five hundred twenty-one million, four hundred fifty-nine thousand, six hundred eighty".