8004846960 has 240 divisors, whose sum is σ = 29572759008. Its totient is φ = 1940336640.

The previous prime is 8004846931. The next prime is 8004846973. The reversal of 8004846960 is 696484008.

It is a happy number.

8004846960 is a `hidden beast` number, since 80 + 0 + 484 + 6 + 96 + 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 954144 + ... + 962496.

Almost surely, 2^8004846960 is an apocalyptic number.

8004846960 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 8004846960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14786379504).

8004846960 is an abundant number, since it is smaller than the sum of its proper divisors (21567912048).

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

8004846960 is a wasteful number, since it uses less digits than its factorization.

8004846960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8405 (or 8374 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8004846960 is about 89469.8103272830. The cubic root of 8004846960 is about 2000.4038317878.

The spelling of 8004846960 in words is "eight billion, four million, eight hundred forty-six thousand, nine hundred sixty".