8672590080 has 576 divisors, whose sum is σ = 38381414400. Its totient is φ = 1801543680.

The previous prime is 8672590057. The next prime is 8672590093. The reversal of 8672590080 is 800952768.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2659491 + ... + 2662749.

It is an arithmetic number, because the mean of its divisors is an integer number (66634400).

Almost surely, 2^8672590080 is an apocalyptic number.

8672590080 is a gapful number since it is divisible by the number (80) 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 8672590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19190707200).

8672590080 is an abundant number, since it is smaller than the sum of its proper divisors (29708824320).

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

8672590080 is a wasteful number, since it uses less digits than its factorization.

8672590080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3307 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 8672590080 is about 93126.7420239750. The cubic root of 8672590080 is about 2054.5479105665.

The spelling of 8672590080 in words is "eight billion, six hundred seventy-two million, five hundred ninety thousand, eighty".