364447480320 has 720 divisors, whose sum is σ = 1601787309408. Its totient is φ = 75726766080.

The previous prime is 364447480279. The next prime is 364447480349. The reversal of 364447480320 is 23084744463.

364447480320 is a `hidden beast` number, since 36 + 44 + 474 + 80 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12403887 + ... + 12433233.

Almost surely, 2^364447480320 is an apocalyptic number.

364447480320 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 364447480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800893654704).

364447480320 is an abundant number, since it is smaller than the sum of its proper divisors (1237339829088).

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

364447480320 is a wasteful number, since it uses less digits than its factorization.

364447480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29401 (or 29375 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 364447480320 in words is "three hundred sixty-four billion, four hundred forty-seven million, four hundred eighty thousand, three hundred twenty".