355764648960 has 1760 divisors, whose sum is σ = 1547944675200. Its totient is φ = 78033715200.

The previous prime is 355764648929. The next prime is 355764648989. The reversal of 355764648960 is 69846467553.

355764648960 is a `hidden beast` number, since 3 + 5 + 57 + 6 + 46 + 489 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5832207330 + ... + 5832207390.

It is an arithmetic number, because the mean of its divisors is an integer number (879514020).

Almost surely, 2^355764648960 is an apocalyptic number.

355764648960 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 355764648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773972337600).

355764648960 is an abundant number, since it is smaller than the sum of its proper divisors (1192180026240).

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

355764648960 is an equidigital number, since it uses as much as digits as its factorization.

355764648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 355764648960 in words is "three hundred fifty-five billion, seven hundred sixty-four million, six hundred forty-eight thousand, nine hundred sixty".