364811978539008 has 3648 divisors, whose sum is σ = 1519470631813120. Its totient is φ = 84085309440000.

The previous prime is 364811978539007. The next prime is 364811978539079. The reversal of 364811978539008 is 800935879118463.

364811978539008 is a `hidden beast` number, since 3 + 6 + 4 + 8 + 1 + 19 + 78 + 539 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (364811978539007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2415973367733 + ... + 2415973367883.

Almost surely, 2^{364811978539008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364811978539008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759735315906560).

364811978539008 is an abundant number, since it is smaller than the sum of its proper divisors (1154658653274112).

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

364811978539008 is a wasteful number, since it uses less digits than its factorization.

364811978539008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 364811978539008 in words is "three hundred sixty-four trillion, eight hundred eleven billion, nine hundred seventy-eight million, five hundred thirty-nine thousand, eight".