332402722261632 has 1280 divisors, whose sum is σ = 1129519302912000. Its totient is φ = 96112989020160.

The previous prime is 332402722261609. The next prime is 332402722261637. The reversal of 332402722261632 is 236162227204233.

332402722261632 is a `hidden beast` number, since 3 + 3 + 2 + 4 + 0 + 2 + 7 + 2 + 2 + 2 + 6 + 1 + 632 = 666.

It is a super-2 number, since 2×332402722261632² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332402722261637) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 285814893883 + ... + 285814895045.

It is an arithmetic number, because the mean of its divisors is an integer number (882436955400).

Almost surely, 2^{332402722261632} is an apocalyptic number.

332402722261632 is a gapful number since it is divisible by the number (32) 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 332402722261632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564759651456000).

332402722261632 is an abundant number, since it is smaller than the sum of its proper divisors (797116580650368).

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

332402722261632 is a wasteful number, since it uses less digits than its factorization.

332402722261632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

Adding to 332402722261632 its reverse (236162227204233), we get a palindrome (568564949465865).

The spelling of 332402722261632 in words is "three hundred thirty-two trillion, four hundred two billion, seven hundred twenty-two million, two hundred sixty-one thousand, six hundred thirty-two".