36683161804800 has 2520 divisors, whose sum is σ = 159485180430576. Its totient is φ = 8357410897920.

The previous prime is 36683161804789. The next prime is 36683161804847. The reversal of 36683161804800 is 840816138663.

36683161804800 is a `hidden beast` number, since 3 + 6 + 6 + 83 + 1 + 6 + 1 + 80 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 119489126247 + ... + 119489126553.

Almost surely, 2^{36683161804800} is an apocalyptic number.

36683161804800 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 36683161804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79742590215288).

36683161804800 is an abundant number, since it is smaller than the sum of its proper divisors (122802018625776).

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

36683161804800 is an frugal number, since it uses more digits than its factorization.

36683161804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 36683161804800 in words is "thirty-six trillion, six hundred eighty-three billion, one hundred sixty-one million, eight hundred four thousand, eight hundred".