332353082880 has 2240 divisors, whose sum is σ = 1562889968640. Its totient is φ = 65787199488.

The previous prime is 332353082843. The next prime is 332353082891. The reversal of 332353082880 is 88280353233.

332353082880 is a `hidden beast` number, since 3 + 32 + 3 + 530 + 8 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×332353082880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3226728909 + ... + 3226729011.

It is an arithmetic number, because the mean of its divisors is an integer number (697718736).

Almost surely, 2^332353082880 is an apocalyptic number.

332353082880 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 332353082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781444984320).

332353082880 is an abundant number, since it is smaller than the sum of its proper divisors (1230536885760).

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

332353082880 is a wasteful number, since it uses less digits than its factorization.

332353082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 332353082880 in words is "three hundred thirty-two billion, three hundred fifty-three million, eighty-two thousand, eight hundred eighty".