8468368272 has 180 divisors, whose sum is σ = 29329682304. Its totient is φ = 2233370880.

The previous prime is 8468368243. The next prime is 8468368283. The reversal of 8468368272 is 2728638648.

8468368272 is a `hidden beast` number, since 8 + 4 + 6 + 8 + 368 + 272 = 666.

It is a super-2 number, since 2×8468368272² (a number of 21 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145497 + ... + 195207.

Almost surely, 2^8468368272 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 8468368272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14664841152).

8468368272 is an abundant number, since it is smaller than the sum of its proper divisors (20861314032).

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

8468368272 is a wasteful number, since it uses less digits than its factorization.

8468368272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49758 (or 49736 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 8468368272 is about 92023.7375463527. The cubic root of 8468368272 is about 2038.2928393617.

The spelling of 8468368272 in words is "eight billion, four hundred sixty-eight million, three hundred sixty-eight thousand, two hundred seventy-two".