364398424608960 has 672 divisors, whose sum is σ = 1495567265400000. Its totient is φ = 83281581637632.

The previous prime is 364398424608913. The next prime is 364398424608997. The reversal of 364398424608960 is 69806424893463.

364398424608960 is a `hidden beast` number, since 3 + 6 + 4 + 3 + 9 + 8 + 4 + 2 + 4 + 608 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4127292496 + ... + 4127380784.

Almost surely, 2^{364398424608960} is an apocalyptic number.

364398424608960 is a gapful number since it is divisible by the number (30) 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 364398424608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747783632700000).

364398424608960 is an abundant number, since it is smaller than the sum of its proper divisors (1131168840791040).

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

364398424608960 is a wasteful number, since it uses less digits than its factorization.

364398424608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98078 (or 98055 counting only the distinct ones).

The product of its (nonzero) digits is 1289945088, while the sum is 72.

The spelling of 364398424608960 in words is "three hundred sixty-four trillion, three hundred ninety-eight billion, four hundred twenty-four million, six hundred eight thousand, nine hundred sixty".