36481132800 has 648 divisors, whose sum is σ = 150209177664. Its totient is φ = 8274493440.

The previous prime is 36481132759. The next prime is 36481132801. The reversal of 36481132800 is 823118463.

36481132800 is a `hidden beast` number, since 3 + 648 + 1 + 1 + 3 + 2 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (36481132801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69753339 + ... + 69753861.

Almost surely, 2^36481132800 is an apocalyptic number.

36481132800 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 36481132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75104588832).

36481132800 is an abundant number, since it is smaller than the sum of its proper divisors (113728044864).

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

36481132800 is a wasteful number, since it uses less digits than its factorization.

36481132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 36481132800 in words is "thirty-six billion, four hundred eighty-one million, one hundred thirty-two thousand, eight hundred".