355479874560 has 528 divisors, whose sum is σ = 1320897658080. Its totient is φ = 90654474240.

The previous prime is 355479874559. The next prime is 355479874591. The reversal of 355479874560 is 65478974553.

355479874560 is a `hidden beast` number, since 3 + 5 + 547 + 9 + 87 + 4 + 5 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73126530 + ... + 73131390.

It is an arithmetic number, because the mean of its divisors is an integer number (2501700110).

Almost surely, 2^355479874560 is an apocalyptic number.

355479874560 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 355479874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660448829040).

355479874560 is an abundant number, since it is smaller than the sum of its proper divisors (965417783520).

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

355479874560 is a wasteful number, since it uses less digits than its factorization.

355479874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4941 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 355479874560 in words is "three hundred fifty-five billion, four hundred seventy-nine million, eight hundred seventy-four thousand, five hundred sixty".