8460468576 has 288 divisors, whose sum is σ = 28838890080. Its totient is φ = 2406039552.

The previous prime is 8460468547. The next prime is 8460468589. The reversal of 8460468576 is 6758640648.

8460468576 is a `hidden beast` number, since 8 + 4 + 6 + 0 + 4 + 68 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14266936 + ... + 14267528.

It is an arithmetic number, because the mean of its divisors is an integer number (100135035).

Almost surely, 2^8460468576 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 8460468576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14419445040).

8460468576 is an abundant number, since it is smaller than the sum of its proper divisors (20378421504).

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

8460468576 is a wasteful number, since it uses less digits than its factorization.

8460468576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The square root of 8460468576 is about 91980.8054759252. The cubic root of 8460468576 is about 2037.6588367322.

The spelling of 8460468576 in words is "eight billion, four hundred sixty million, four hundred sixty-eight thousand, five hundred seventy-six".