36437218560 has 216 divisors, whose sum is σ = 126260578080. Its totient is φ = 9701830656.

The previous prime is 36437218547. The next prime is 36437218621. The reversal of 36437218560 is 6581273463.

36437218560 is a `hidden beast` number, since 3 + 6 + 4 + 3 + 72 + 18 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9064231 + ... + 9068249.

Almost surely, 2^36437218560 is an apocalyptic number.

36437218560 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 36437218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63130289040).

36437218560 is an abundant number, since it is smaller than the sum of its proper divisors (89823359520).

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

36437218560 is a wasteful number, since it uses less digits than its factorization.

36437218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 36437218560 in words is "thirty-six billion, four hundred thirty-seven million, two hundred eighteen thousand, five hundred sixty".