36681427860480 has 440 divisors, whose sum is σ = 141556710970752. Its totient is φ = 9029273223168.

The previous prime is 36681427860397. The next prime is 36681427860503. The reversal of 36681427860480 is 8406872418663.

36681427860480 is a `hidden beast` number, since 3 + 6 + 6 + 8 + 14 + 2 + 7 + 8 + 604 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1989489 + ... + 8793231.

Almost surely, 2^{36681427860480} is an apocalyptic number.

36681427860480 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 36681427860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70778355485376).

36681427860480 is an abundant number, since it is smaller than the sum of its proper divisors (104875283110272).

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

36681427860480 is a wasteful number, since it uses less digits than its factorization.

36681427860480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6803793 (or 6803766 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 36681427860480 in words is "thirty-six trillion, six hundred eighty-one billion, four hundred twenty-seven million, eight hundred sixty thousand, four hundred eighty".