36617781618432 has 864 divisors, whose sum is σ = 131006795136000. Its totient is φ = 9881534767104.

The previous prime is 36617781618421. The next prime is 36617781618521. The reversal of 36617781618432 is 23481618771663.

36617781618432 is a `hidden beast` number, since 3 + 6 + 6 + 1 + 7 + 7 + 8 + 1 + 618 + 4 + 3 + 2 = 666.

36617781618432 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 (864).

It is a super-2 number, since 2×36617781618432² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 36617781618432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6095848773 + ... + 6095854779.

Almost surely, 2^{36617781618432} is an apocalyptic number.

36617781618432 is a gapful number since it is divisible by the number (32) 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 36617781618432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65503397568000).

36617781618432 is an abundant number, since it is smaller than the sum of its proper divisors (94389013517568).

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

36617781618432 is a wasteful number, since it uses less digits than its factorization.

36617781618432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6426 (or 6387 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 36617781618432 in words is "thirty-six trillion, six hundred seventeen billion, seven hundred eighty-one million, six hundred eighteen thousand, four hundred thirty-two".