36996424012800 has 1056 divisors, whose sum is σ = 163442489011200. Its totient is φ = 8011235819520.

The previous prime is 36996424012771. The next prime is 36996424012829. The reversal of 36996424012800 is 821042469963.

36996424012800 is a `hidden beast` number, since 3 + 6 + 9 + 96 + 424 + 0 + 128 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36996424012771) and next prime (36996424012829).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91728379 + ... + 92130821.

Almost surely, 2^{36996424012800} is an apocalyptic number.

36996424012800 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 36996424012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81721244505600).

36996424012800 is an abundant number, since it is smaller than the sum of its proper divisors (126446064998400).

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

36996424012800 is a wasteful number, since it uses less digits than its factorization.

36996424012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402508 (or 402479 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 36996424012800 in words is "thirty-six trillion, nine hundred ninety-six billion, four hundred twenty-four million, twelve thousand, eight hundred".