9480510864 has 280 divisors, whose sum is σ = 31633168800. Its totient is φ = 2720977920.

The previous prime is 9480510857. The next prime is 9480510877. The reversal of 9480510864 is 4680150849.

9480510864 is a `hidden beast` number, since 9 + 480 + 5 + 108 + 64 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2435832 + ... + 2439720.

Almost surely, 2^9480510864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9480510864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15816584400).

9480510864 is an abundant number, since it is smaller than the sum of its proper divisors (22152657936).

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

9480510864 is a wasteful number, since it uses less digits than its factorization.

9480510864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3945 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 9480510864 is about 97367.9149617573. The cubic root of 9480510864 is about 2116.4625104049.

The spelling of 9480510864 in words is "nine billion, four hundred eighty million, five hundred ten thousand, eight hundred sixty-four".