8460264960 has 240 divisors, whose sum is σ = 33486669216. Its totient is φ = 1933737984.

The previous prime is 8460264929. The next prime is 8460265027. The reversal of 8460264960 is 694620648.

8460264960 is a `hidden beast` number, since 84 + 60 + 26 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135052 + ... + 187508.

Almost surely, 2^8460264960 is an apocalyptic number.

8460264960 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 8460264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16743334608).

8460264960 is an abundant number, since it is smaller than the sum of its proper divisors (25026404256).

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

8460264960 is a wasteful number, since it uses less digits than its factorization.

8460264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52493 (or 52474 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 8460264960 is about 91979.6986296433. The cubic root of 8460264960 is about 2037.6424899910.

The spelling of 8460264960 in words is "eight billion, four hundred sixty million, two hundred sixty-four thousand, nine hundred sixty".