364772981664 has 480 divisors, whose sum is σ = 1345311918720. Its totient is φ = 94385461248.

The previous prime is 364772981627. The next prime is 364772981669. The reversal of 364772981664 is 466189277463.

It is a happy number.

364772981664 is a `hidden beast` number, since 3 + 6 + 477 + 2 + 98 + 16 + 64 = 666.

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 not an unprimeable number, because it can be changed into a prime (364772981669) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12486627 + ... + 12515805.

It is an arithmetic number, because the mean of its divisors is an integer number (2802733164).

Almost surely, 2^364772981664 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 364772981664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672655959360).

364772981664 is an abundant number, since it is smaller than the sum of its proper divisors (980538937056).

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

364772981664 is a wasteful number, since it uses less digits than its factorization.

364772981664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29274 (or 29257 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 364772981664 in words is "three hundred sixty-four billion, seven hundred seventy-two million, nine hundred eighty-one thousand, six hundred sixty-four".