8664315672 has 64 divisors (see below), whose sum is σ = 22048329600. Its totient is φ = 2836524800.

The previous prime is 8664315661. The next prime is 8664315677. The reversal of 8664315672 is 2765134668.

It is a super-3 number, since 3×8664315672³ (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8664315677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2052508 + ... + 2056724.

It is an arithmetic number, because the mean of its divisors is an integer number (344505150).

Almost surely, 2^8664315672 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 8664315672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11024164800).

8664315672 is an abundant number, since it is smaller than the sum of its proper divisors (13384013928).

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

8664315672 is a wasteful number, since it uses less digits than its factorization.

8664315672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5736 (or 5732 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 8664315672 is about 93082.3059018200. The cubic root of 8664315672 is about 2053.8942966354.

The spelling of 8664315672 in words is "eight billion, six hundred sixty-four million, three hundred fifteen thousand, six hundred seventy-two".