332604740160 has 2240 divisors, whose sum is σ = 1593250560000. Its totient is φ = 65109381120.

The previous prime is 332604740131. The next prime is 332604740197. The reversal of 332604740160 is 61047406233.

It is a happy number.

332604740160 is a `hidden beast` number, since 3 + 3 + 2 + 604 + 7 + 40 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×332604740160² (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 an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1858126951 + ... + 1858127129.

Almost surely, 2^332604740160 is an apocalyptic number.

332604740160 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 332604740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796625280000).

332604740160 is an abundant number, since it is smaller than the sum of its proper divisors (1260645819840).

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

332604740160 is a wasteful number, since it uses less digits than its factorization.

332604740160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 332604740160 in words is "three hundred thirty-two billion, six hundred four million, seven hundred forty thousand, one hundred sixty".