332642997792 has 216 divisors, whose sum is σ = 1105989921036. Its totient is φ = 94557625344.

The previous prime is 332642997787. The next prime is 332642997793. The reversal of 332642997792 is 297799246233.

332642997792 is a `hidden beast` number, since 3 + 32 + 6 + 429 + 97 + 7 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 259891961616 + 72751036176 = 509796^2 + 269724^2 .

It is a super-2 number, since 2×332642997792² (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 nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (332642997793) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2720238 + ... + 2839890.

Almost surely, 2^332642997792 is an apocalyptic number.

332642997792 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 332642997792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552994960518).

332642997792 is an abundant number, since it is smaller than the sum of its proper divisors (773346923244).

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

332642997792 is a wasteful number, since it uses less digits than its factorization.

332642997792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119880 (or 119862 counting only the distinct ones).

The product of its digits is 61725888, while the sum is 63.

The spelling of 332642997792 in words is "three hundred thirty-two billion, six hundred forty-two million, nine hundred ninety-seven thousand, seven hundred ninety-two".