36720651600 has 180 divisors, whose sum is σ = 127730580796. Its totient is φ = 9769144320.

The previous prime is 36720651589. The next prime is 36720651623. The reversal of 36720651600 is 615602763.

It can be written as a sum of positive squares in 6 ways, for example, as 16458837264 + 20261814336 = 128292^2 + 142344^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1547022 + ... + 1570578.

Almost surely, 2^36720651600 is an apocalyptic number.

36720651600 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 36720651600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63865290398).

36720651600 is an abundant number, since it is smaller than the sum of its proper divisors (91009929196).

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

36720651600 is a wasteful number, since it uses less digits than its factorization.

36720651600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24014 (or 24000 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 36720651600 in words is "thirty-six billion, seven hundred twenty million, six hundred fifty-one thousand, six hundred".