23272284672 has 960 divisors, whose sum is σ = 91514142720. Its totient is φ = 5518098432.

The previous prime is 23272284661. The next prime is 23272284719. The reversal of 23272284672 is 27648227232.

23272284672 is a `hidden beast` number, since 232 + 72 + 284 + 6 + 72 = 666.

It is a super-2 number, since 2×23272284672² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183246273 + ... + 183246399.

It is an arithmetic number, because the mean of its divisors is an integer number (95327232).

Almost surely, 2^23272284672 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 23272284672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45757071360).

23272284672 is an abundant number, since it is smaller than the sum of its proper divisors (68241858048).

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

23272284672 is a wasteful number, since it uses less digits than its factorization.

23272284672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 194 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The spelling of 23272284672 in words is "twenty-three billion, two hundred seventy-two million, two hundred eighty-four thousand, six hundred seventy-two".