364347793920 has 320 divisors, whose sum is σ = 1337545820160. Its totient is φ = 83677593600.

The previous prime is 364347793891. The next prime is 364347793949. The reversal of 364347793920 is 29397743463.

It is an interprime number because it is at equal distance from previous prime (364347793891) and next prime (364347793949).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1491625 + ... + 1718615.

It is an arithmetic number, because the mean of its divisors is an integer number (4179830688).

Almost surely, 2^364347793920 is an apocalyptic number.

364347793920 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 364347793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668772910080).

364347793920 is an abundant number, since it is smaller than the sum of its proper divisors (973198026240).

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

364347793920 is a wasteful number, since it uses less digits than its factorization.

364347793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227047 (or 227031 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 57.

The spelling of 364347793920 in words is "three hundred sixty-four billion, three hundred forty-seven million, seven hundred ninety-three thousand, nine hundred twenty".