8562516480 has 800 divisors, whose sum is σ = 37218082176. Its totient is φ = 1836711936.

The previous prime is 8562516409. The next prime is 8562516493. The reversal of 8562516480 is 846152658.

8562516480 is a `hidden beast` number, since 8 + 5 + 625 + 16 + 4 + 8 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 24675667 + ... + 24676013.

Almost surely, 2^8562516480 is an apocalyptic number.

8562516480 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 8562516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18609041088).

8562516480 is an abundant number, since it is smaller than the sum of its proper divisors (28655565696).

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

8562516480 is a wasteful number, since it uses less digits than its factorization.

8562516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 8562516480 is about 92533.8666651297. The cubic root of 8562516480 is about 2045.8186817415.

The spelling of 8562516480 in words is "eight billion, five hundred sixty-two million, five hundred sixteen thousand, four hundred eighty".