36672652800 has 1200 divisors, whose sum is σ = 161104069632. Its totient is φ = 8062156800.

The previous prime is 36672652777. The next prime is 36672652829. The reversal of 36672652800 is 825627663.

It is a happy number.

36672652800 is a `hidden beast` number, since 366 + 7 + 2 + 6 + 5 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 224985519 + ... + 224985681.

Almost surely, 2^36672652800 is an apocalyptic number.

36672652800 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 36672652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80552034816).

36672652800 is an abundant number, since it is smaller than the sum of its proper divisors (124431416832).

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

36672652800 is a wasteful number, since it uses less digits than its factorization.

36672652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 211 counting only the distinct ones).

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

The spelling of 36672652800 in words is "thirty-six billion, six hundred seventy-two million, six hundred fifty-two thousand, eight hundred".