8964520480 has 192 divisors, whose sum is σ = 22992076800. Its totient is φ = 3293199360.

The previous prime is 8964520459. The next prime is 8964520501. The reversal of 8964520480 is 840254698.

It is an interprime number because it is at equal distance from previous prime (8964520459) and next prime (8964520501).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 8964520480.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20420101 + ... + 20420539.

It is an arithmetic number, because the mean of its divisors is an integer number (119750400).

Almost surely, 2^8964520480 is an apocalyptic number.

8964520480 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 8964520480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11496038400).

8964520480 is an abundant number, since it is smaller than the sum of its proper divisors (14027556320).

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

8964520480 is a wasteful number, since it uses less digits than its factorization.

8964520480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The square root of 8964520480 is about 94681.1516617748. The cubic root of 8964520480 is about 2077.3468761482.

The spelling of 8964520480 in words is "eight billion, nine hundred sixty-four million, five hundred twenty thousand, four hundred eighty".