36556615680 has 416 divisors, whose sum is σ = 129473367744. Its totient is φ = 8748269568.

The previous prime is 36556615663. The next prime is 36556615691. The reversal of 36556615680 is 8651665563.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×36556615680² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29552022 + ... + 29553258.

Almost surely, 2^36556615680 is an apocalyptic number.

36556615680 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 36556615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64736683872).

36556615680 is an abundant number, since it is smaller than the sum of its proper divisors (92916752064).

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

36556615680 is a wasteful number, since it uses less digits than its factorization.

36556615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 51.

The spelling of 36556615680 in words is "thirty-six billion, five hundred fifty-six million, six hundred fifteen thousand, six hundred eighty".