36463996800 has 2016 divisors, whose sum is σ = 177296185800. Its totient is φ = 7315660800.

The previous prime is 36463996787. The next prime is 36463996801. The reversal of 36463996800 is 869936463.

It is a happy number.

36463996800 is a `hidden beast` number, since 36 + 463 + 99 + 68 + 0 + 0 = 666.

36463996800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36463996801) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1257379186 + ... + 1257379214.

Almost surely, 2^36463996800 is an apocalyptic number.

36463996800 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 36463996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88648092900).

36463996800 is an abundant number, since it is smaller than the sum of its proper divisors (140832189000).

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

36463996800 is a wasteful number, since it uses less digits than its factorization.

36463996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 36463996800 in words is "thirty-six billion, four hundred sixty-three million, nine hundred ninety-six thousand, eight hundred".