356394336480 has 672 divisors, whose sum is σ = 1553763121344. Its totient is φ = 75193049088.

The previous prime is 356394336451. The next prime is 356394336499. The reversal of 356394336480 is 84633493653.

It is a happy number.

356394336480 is a `hidden beast` number, since 3 + 563 + 9 + 4 + 3 + 36 + 48 + 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10597452 + ... + 10631028.

It is an arithmetic number, because the mean of its divisors is an integer number (2312147502).

Almost surely, 2^356394336480 is an apocalyptic number.

356394336480 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 356394336480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776881560672).

356394336480 is an abundant number, since it is smaller than the sum of its proper divisors (1197368784864).

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

356394336480 is a wasteful number, since it uses less digits than its factorization.

356394336480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33630 (or 33607 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 356394336480 in words is "three hundred fifty-six billion, three hundred ninety-four million, three hundred thirty-six thousand, four hundred eighty".