332357379120 has 960 divisors, whose sum is σ = 1305197712000. Its totient is φ = 78033715200.

The previous prime is 332357379119. The next prime is 332357379131. The reversal of 332357379120 is 21973753233.

332357379120 is a `hidden beast` number, since 3 + 3 + 2 + 3 + 573 + 79 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×332357379120² (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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 740216656 + ... + 740217104.

It is an arithmetic number, because the mean of its divisors is an integer number (1359580950).

Almost surely, 2^332357379120 is an apocalyptic number.

332357379120 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 332357379120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652598856000).

332357379120 is an abundant number, since it is smaller than the sum of its proper divisors (972840332880).

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

332357379120 is a wasteful number, since it uses less digits than its factorization.

332357379120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 45.

The spelling of 332357379120 in words is "three hundred thirty-two billion, three hundred fifty-seven million, three hundred seventy-nine thousand, one hundred twenty".