36872989776000 has 1280 divisors, whose sum is σ = 158034740497920. Its totient is φ = 8346074112000.

The previous prime is 36872989775933. The next prime is 36872989776011. The reversal of 36872989776000 is 67798927863.

36872989776000 is a `hidden beast` number, since 3 + 6 + 8 + 7 + 2 + 9 + 8 + 9 + 7 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 36872989776000.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 934396270 + ... + 934435730.

It is an arithmetic number, because the mean of its divisors is an integer number (123464641014).

Almost surely, 2^{36872989776000} is an apocalyptic number.

36872989776000 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 36872989776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79017370248960).

36872989776000 is an abundant number, since it is smaller than the sum of its proper divisors (121161750721920).

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

36872989776000 is a wasteful number, since it uses less digits than its factorization.

36872989776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39612 (or 39581 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 36872989776000 in words is "thirty-six trillion, eight hundred seventy-two billion, nine hundred eighty-nine million, seven hundred seventy-six thousand".