36604382976 has 864 divisors, whose sum is σ = 136006778880. Its totient is φ = 9656672256.

The previous prime is 36604382951. The next prime is 36604383043. The reversal of 36604382976 is 67928340663.

36604382976 is a `hidden beast` number, since 3 + 6 + 604 + 3 + 8 + 29 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 288223425 + ... + 288223551.

Almost surely, 2^36604382976 is an apocalyptic number.

36604382976 is a gapful number since it is divisible by the number (36) 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 36604382976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68003389440).

36604382976 is an abundant number, since it is smaller than the sum of its proper divisors (99402395904).

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

36604382976 is a wasteful number, since it uses less digits than its factorization.

36604382976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 36604382976 in words is "thirty-six billion, six hundred four million, three hundred eighty-two thousand, nine hundred seventy-six".