8872335360 has 576 divisors, whose sum is σ = 37255982400. Its totient is φ = 1906311168.

The previous prime is 8872335341. The next prime is 8872335379. The reversal of 8872335360 is 635332788.

8872335360 is a `hidden beast` number, since 8 + 87 + 2 + 33 + 536 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8872335341) and next prime (8872335379).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10966636 + ... + 10967444.

It is an arithmetic number, because the mean of its divisors is an integer number (64680525).

Almost surely, 2^8872335360 is an apocalyptic number.

8872335360 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 8872335360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18627991200).

8872335360 is an abundant number, since it is smaller than the sum of its proper divisors (28383647040).

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

8872335360 is a wasteful number, since it uses less digits than its factorization.

8872335360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 8872335360 is about 94193.0749046871. The cubic root of 8872335360 is about 2070.2016466728.

The spelling of 8872335360 in words is "eight billion, eight hundred seventy-two million, three hundred thirty-five thousand, three hundred sixty".