36552931622664 has 256 divisors, whose sum is σ = 102895669094400. Its totient is φ = 10752636874752.

The previous prime is 36552931622663. The next prime is 36552931622699. The reversal of 36552931622664 is 46622613925563.

It is a super-2 number, since 2×36552931622664² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36552931622598 and 36552931622607.

It is not an unprimeable number, because it can be changed into a prime (36552931622663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1575342087 + ... + 1575365289.

It is an arithmetic number, because the mean of its divisors is an integer number (401936207400).

Almost surely, 2^{36552931622664} is an apocalyptic number.

36552931622664 is a gapful number since it is divisible by the number (34) 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 36552931622664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51447834547200).

36552931622664 is an abundant number, since it is smaller than the sum of its proper divisors (66342737471736).

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

36552931622664 is a wasteful number, since it uses less digits than its factorization.

36552931622664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25324 (or 25320 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 60.

The spelling of 36552931622664 in words is "thirty-six trillion, five hundred fifty-two billion, nine hundred thirty-one million, six hundred twenty-two thousand, six hundred sixty-four".