36621431072 has 96 divisors (see below), whose sum is σ = 75310663680. Its totient is φ = 17508234240.

The previous prime is 36621431051. The next prime is 36621431083. The reversal of 36621431072 is 27013412663.

It is a super-2 number, since 2×36621431072² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56081498 + ... + 56082150.

It is an arithmetic number, because the mean of its divisors is an integer number (784486080).

Almost surely, 2^36621431072 is an apocalyptic number.

36621431072 is a gapful number since it is divisible by the number (32) 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 36621431072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37655331840).

36621431072 is an abundant number, since it is smaller than the sum of its proper divisors (38689232608).

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

36621431072 is a wasteful number, since it uses less digits than its factorization.

36621431072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 36621431072 in words is "thirty-six billion, six hundred twenty-one million, four hundred thirty-one thousand, seventy-two".