364230064506560 has 224 divisors, whose sum is σ = 1008066887331840. Its totient is φ = 122757375283200.

The previous prime is 364230064506557. The next prime is 364230064506571. The reversal of 364230064506560 is 65605460032463.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 364230064506499 and 364230064506508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5056537745 + ... + 5056609775.

It is an arithmetic number, because the mean of its divisors is an integer number (4500298604160).

Almost surely, 2^{364230064506560} 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 364230064506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504033443665920).

364230064506560 is an abundant number, since it is smaller than the sum of its proper divisors (643836822825280).

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

364230064506560 is a wasteful number, since it uses less digits than its factorization.

364230064506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110375 (or 110365 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 50.

The spelling of 364230064506560 in words is "three hundred sixty-four trillion, two hundred thirty billion, sixty-four million, five hundred six thousand, five hundred sixty".