332563345920 has 1920 divisors, whose sum is σ = 1418826689280. Its totient is φ = 73893150720.

The previous prime is 332563345901. The next prime is 332563345931. The reversal of 332563345920 is 29543365233.

332563345920 is a `hidden beast` number, since 3 + 3 + 2 + 5 + 633 + 4 + 5 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×332563345920² (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 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 191 ways as a sum of consecutive naturals, for example, 5636666851 + ... + 5636666909.

It is an arithmetic number, because the mean of its divisors is an integer number (738972234).

Almost surely, 2^332563345920 is an apocalyptic number.

332563345920 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 332563345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709413344640).

332563345920 is an abundant number, since it is smaller than the sum of its proper divisors (1086263343360).

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

332563345920 is a wasteful number, since it uses less digits than its factorization.

332563345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 45.

The spelling of 332563345920 in words is "three hundred thirty-two billion, five hundred sixty-three million, three hundred forty-five thousand, nine hundred twenty".