332813959920 has 800 divisors, whose sum is σ = 1324093877568. Its totient is φ = 76751732736.

The previous prime is 332813959879. The next prime is 332813959927. The reversal of 332813959920 is 29959318233.

It is a happy number.

332813959920 is a `hidden beast` number, since 3 + 3 + 28 + 1 + 3 + 9 + 599 + 20 = 666.

It is a super-3 number, since 3×332813959920³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332813959927) 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 159 ways as a sum of consecutive naturals, for example, 439648182 + ... + 439648938.

Almost surely, 2^332813959920 is an apocalyptic number.

332813959920 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 332813959920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662046938784).

332813959920 is an abundant number, since it is smaller than the sum of its proper divisors (991279917648).

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

332813959920 is a wasteful number, since it uses less digits than its factorization.

332813959920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 332813959920 in words is "three hundred thirty-two billion, eight hundred thirteen million, nine hundred fifty-nine thousand, nine hundred twenty".