332487664704 has 280 divisors, whose sum is σ = 1084006374528. Its totient is φ = 100126264320.

The previous prime is 332487664679. The next prime is 332487664711. The reversal of 332487664704 is 407466784233.

332487664704 is a `hidden beast` number, since 3 + 32 + 4 + 87 + 66 + 470 + 4 = 666.

It is a super-2 number, since 2×332487664704² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 3114939 + ... + 3219909.

Almost surely, 2^332487664704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332487664704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542003187264).

332487664704 is an abundant number, since it is smaller than the sum of its proper divisors (751518709824).

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

332487664704 is a wasteful number, since it uses less digits than its factorization.

332487664704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105055 (or 105036 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 332487664704 in words is "three hundred thirty-two billion, four hundred eighty-seven million, six hundred sixty-four thousand, seven hundred four".