332325745920 has 1728 divisors, whose sum is σ = 1454579078400. Its totient is φ = 71530905600.

The previous prime is 332325745909. The next prime is 332325745957. The reversal of 332325745920 is 29547523233.

332325745920 is a `hidden beast` number, since 3 + 3 + 2 + 3 + 2 + 57 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×332325745920² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3290353870 + ... + 3290353970.

It is an arithmetic number, because the mean of its divisors is an integer number (841770300).

Almost surely, 2^332325745920 is an apocalyptic number.

332325745920 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 332325745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727289539200).

332325745920 is an abundant number, since it is smaller than the sum of its proper divisors (1122253332480).

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

332325745920 is a wasteful number, since it uses less digits than its factorization.

332325745920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 332325745920 in words is "three hundred thirty-two billion, three hundred twenty-five million, seven hundred forty-five thousand, nine hundred twenty".