8801472960 has 560 divisors, whose sum is σ = 36113679360. Its totient is φ = 1993144320.

The previous prime is 8801472947. The next prime is 8801472971. The reversal of 8801472960 is 692741088.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×8801472960² (a number of 21 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 32477625 + ... + 32477895.

Almost surely, 2^8801472960 is an apocalyptic number.

8801472960 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 8801472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18056839680).

8801472960 is an abundant number, since it is smaller than the sum of its proper divisors (27312206400).

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

8801472960 is a wasteful number, since it uses less digits than its factorization.

8801472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 8801472960 is about 93816.1657711505. The cubic root of 8801472960 is about 2064.6754144348.

The spelling of 8801472960 in words is "eight billion, eight hundred one million, four hundred seventy-two thousand, nine hundred sixty".