332396274672 has 560 divisors, whose sum is σ = 1226735912448. Its totient is φ = 84695569920.

The previous prime is 332396274647. The next prime is 332396274673. The reversal of 332396274672 is 276472693233.

332396274672 is a `hidden beast` number, since 3 + 3 + 2 + 3 + 9 + 627 + 4 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×332396274672² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332396274673) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 47597293 + ... + 47604275.

Almost surely, 2^332396274672 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 332396274672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613367956224).

332396274672 is an abundant number, since it is smaller than the sum of its proper divisors (894339637776).

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

332396274672 is a wasteful number, since it uses less digits than its factorization.

332396274672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7080 (or 7059 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 54.

The spelling of 332396274672 in words is "three hundred thirty-two billion, three hundred ninety-six million, two hundred seventy-four thousand, six hundred seventy-two".