8299312560 has 720 divisors, whose sum is σ = 36224348160. Its totient is φ = 1665100800.

The previous prime is 8299312543. The next prime is 8299312577. The reversal of 8299312560 is 652139928.

8299312560 is a `hidden beast` number, since 82 + 9 + 9 + 3 + 1 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (8299312543) and next prime (8299312577).

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 18904821 + ... + 18905259.

Almost surely, 2^8299312560 is an apocalyptic number.

8299312560 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 8299312560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18112174080).

8299312560 is an abundant number, since it is smaller than the sum of its proper divisors (27925035600).

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

8299312560 is a wasteful number, since it uses less digits than its factorization.

8299312560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 8299312560 is about 91100.5628961753. The cubic root of 8299312560 is about 2024.6379526492.

The spelling of 8299312560 in words is "eight billion, two hundred ninety-nine million, three hundred twelve thousand, five hundred sixty".