332789790816 has 864 divisors, whose sum is σ = 1225350322560. Its totient is φ = 88268673024.

The previous prime is 332789790779. The next prime is 332789790859. The reversal of 332789790816 is 618097987233.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×332789790816² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 537624555 + ... + 537625173.

It is an arithmetic number, because the mean of its divisors is an integer number (1418229540).

Almost surely, 2^332789790816 is an apocalyptic number.

332789790816 is a gapful number since it is divisible by the number (36) 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 332789790816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612675161280).

332789790816 is an abundant number, since it is smaller than the sum of its proper divisors (892560531744).

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

332789790816 is a wasteful number, since it uses less digits than its factorization.

332789790816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 332789790816 in words is "three hundred thirty-two billion, seven hundred eighty-nine million, seven hundred ninety thousand, eight hundred sixteen".