36672372240 has 480 divisors, whose sum is σ = 137646190080. Its totient is φ = 8043614208.

The previous prime is 36672372179. The next prime is 36672372251. The reversal of 36672372240 is 4227327663.

36672372240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 36672372192 and 36672372201.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99924537 + ... + 99924903.

It is an arithmetic number, because the mean of its divisors is an integer number (286762896).

Almost surely, 2^36672372240 is an apocalyptic number.

36672372240 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 36672372240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68823095040).

36672372240 is an abundant number, since it is smaller than the sum of its proper divisors (100973817840).

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

36672372240 is a wasteful number, since it uses less digits than its factorization.

36672372240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 42.

The spelling of 36672372240 in words is "thirty-six billion, six hundred seventy-two million, three hundred seventy-two thousand, two hundred forty".