364678506720 has 384 divisors, whose sum is σ = 1395475361280. Its totient is φ = 88212234240.

The previous prime is 364678506713. The next prime is 364678506763. The reversal of 364678506720 is 27605876463.

364678506720 is a `hidden beast` number, since 3 + 6 + 4 + 67 + 8 + 506 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22183624 + ... + 22200056.

It is an arithmetic number, because the mean of its divisors is an integer number (3634050420).

Almost surely, 2^364678506720 is an apocalyptic number.

364678506720 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 364678506720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697737680640).

364678506720 is an abundant number, since it is smaller than the sum of its proper divisors (1030796854560).

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

364678506720 is a wasteful number, since it uses less digits than its factorization.

364678506720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16935 (or 16921 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 364678506720 in words is "three hundred sixty-four billion, six hundred seventy-eight million, five hundred six thousand, seven hundred twenty".