332125685760 has 768 divisors, whose sum is σ = 1195587993600. Its totient is φ = 78033715200.

The previous prime is 332125685719. The next prime is 332125685789. The reversal of 332125685760 is 67586521233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×332125685760² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2615162817 + ... + 2615162943.

It is an arithmetic number, because the mean of its divisors is an integer number (1556755200).

Almost surely, 2^332125685760 is an apocalyptic number.

332125685760 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 332125685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597793996800).

332125685760 is an abundant number, since it is smaller than the sum of its proper divisors (863462307840).

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

332125685760 is a wasteful number, since it uses less digits than its factorization.

332125685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 332125685760 in words is "three hundred thirty-two billion, one hundred twenty-five million, six hundred eighty-five thousand, seven hundred sixty".