36578304864 has 192 divisors, whose sum is σ = 113209850880. Its totient is φ = 11450419200.

The previous prime is 36578304811. The next prime is 36578304877. The reversal of 36578304864 is 46840387563.

36578304864 is a `hidden beast` number, since 3 + 6 + 578 + 3 + 0 + 4 + 8 + 64 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 36578304864.

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 31 ways as a sum of consecutive naturals, for example, 7385589 + ... + 7390539.

It is an arithmetic number, because the mean of its divisors is an integer number (589634640).

Almost surely, 2^36578304864 is an apocalyptic number.

36578304864 is a gapful number since it is divisible by the number (34) 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 36578304864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56604925440).

36578304864 is an abundant number, since it is smaller than the sum of its proper divisors (76631546016).

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

36578304864 is a wasteful number, since it uses less digits than its factorization.

36578304864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5490 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 36578304864 in words is "thirty-six billion, five hundred seventy-eight million, three hundred four thousand, eight hundred sixty-four".