36642513600 has 756 divisors, whose sum is σ = 165306850488. Its totient is φ = 7612416000.

The previous prime is 36642513599. The next prime is 36642513613. The reversal of 36642513600 is 631524663.

36642513600 is a `hidden beast` number, since 3 + 6 + 6 + 42 + 5 + 1 + 3 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7759240 + ... + 7763960.

Almost surely, 2^36642513600 is an apocalyptic number.

36642513600 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 36642513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82653425244).

36642513600 is an abundant number, since it is smaller than the sum of its proper divisors (128664336888).

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

36642513600 is a wasteful number, since it uses less digits than its factorization.

36642513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774 (or 4749 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 36642513600 in words is "thirty-six billion, six hundred forty-two million, five hundred thirteen thousand, six hundred".