332116761600 has 1056 divisors, whose sum is σ = 1371402224640. Its totient is φ = 78148730880.

The previous prime is 332116761517. The next prime is 332116761601. The reversal of 332116761600 is 6167611233.

332116761600 is a `hidden beast` number, since 3 + 3 + 21 + 16 + 7 + 616 + 0 + 0 = 666.

It is a super-2 number, since 2×332116761600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332116761601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 206667997 + ... + 206669603.

Almost surely, 2^332116761600 is an apocalyptic number.

332116761600 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 332116761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685701112320).

332116761600 is an abundant number, since it is smaller than the sum of its proper divisors (1039285463040).

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

332116761600 is a wasteful number, since it uses less digits than its factorization.

332116761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 332116761600 in words is "three hundred thirty-two billion, one hundred sixteen million, seven hundred sixty-one thousand, six hundred".