364925643264 has 960 divisors, whose sum is σ = 1361272872960. Its totient is φ = 91530362880.

The previous prime is 364925643221. The next prime is 364925643373. The reversal of 364925643264 is 462346529463.

364925643264 is a `hidden beast` number, since 3 + 6 + 49 + 2 + 564 + 32 + 6 + 4 = 666.

It is a super-2 number, since 2×364925643264² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 364925643264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 870944047 + ... + 870944465.

It is an arithmetic number, because the mean of its divisors is an integer number (1417992576).

Almost surely, 2^364925643264 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 364925643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680636436480).

364925643264 is an abundant number, since it is smaller than the sum of its proper divisors (996347229696).

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

364925643264 is a wasteful number, since it uses less digits than its factorization.

364925643264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 542 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 54.

The spelling of 364925643264 in words is "three hundred sixty-four billion, nine hundred twenty-five million, six hundred forty-three thousand, two hundred sixty-four".