332811073728 has 672 divisors, whose sum is σ = 1235934056448. Its totient is φ = 86593536000.

The previous prime is 332811073717. The next prime is 332811073729. The reversal of 332811073728 is 827370118233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×332811073728² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332811073729) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57368428 + ... + 57374228.

It is an arithmetic number, because the mean of its divisors is an integer number (1839187584).

Almost surely, 2^332811073728 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 332811073728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617967028224).

332811073728 is an abundant number, since it is smaller than the sum of its proper divisors (903122982720).

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

332811073728 is a wasteful number, since it uses less digits than its factorization.

332811073728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 332811073728 in words is "three hundred thirty-two billion, eight hundred eleven million, seventy-three thousand, seven hundred twenty-eight".