332603616960 has 896 divisors, whose sum is σ = 1250899200000. Its totient is φ = 83065651200.

The previous prime is 332603616949. The next prime is 332603616977. The reversal of 332603616960 is 69616306233.

332603616960 is a `hidden beast` number, since 3 + 3 + 26 + 0 + 3 + 616 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×332603616960² (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 127 ways as a sum of consecutive naturals, for example, 2202672885 + ... + 2202673035.

Almost surely, 2^332603616960 is an apocalyptic number.

332603616960 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 332603616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625449600000).

332603616960 is an abundant number, since it is smaller than the sum of its proper divisors (918295583040).

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

332603616960 is a wasteful number, since it uses less digits than its factorization.

332603616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 332603616960 in words is "three hundred thirty-two billion, six hundred three million, six hundred sixteen thousand, nine hundred sixty".