36674668800 has 648 divisors, whose sum is σ = 163494327360. Its totient is φ = 7619788800.

The previous prime is 36674668781. The next prime is 36674668829. The reversal of 36674668800 is 886647663.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4431066 + ... + 4439334.

Almost surely, 2^36674668800 is an apocalyptic number.

36674668800 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 36674668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81747163680).

36674668800 is an abundant number, since it is smaller than the sum of its proper divisors (126819658560).

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

36674668800 is a wasteful number, since it uses less digits than its factorization.

36674668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8319 (or 8297 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 36674668800 in words is "thirty-six billion, six hundred seventy-four million, six hundred sixty-eight thousand, eight hundred".