8001460992 has 288 divisors, whose sum is σ = 26666841600. Its totient is φ = 2076770304.

The previous prime is 8001460981. The next prime is 8001461023. The reversal of 8001460992 is 2990641008.

It is a self number, because there is not a number n which added to its sum of digits gives 8001460992.

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, 2648859 + ... + 2651877.

It is an arithmetic number, because the mean of its divisors is an integer number (92593200).

Almost surely, 2^8001460992 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 8001460992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13333420800).

8001460992 is an abundant number, since it is smaller than the sum of its proper divisors (18665380608).

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

8001460992 is a wasteful number, since it uses less digits than its factorization.

8001460992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 8001460992 is about 89450.8859207107. The cubic root of 8001460992 is about 2000.1217419226.

The spelling of 8001460992 in words is "eight billion, one million, four hundred sixty thousand, nine hundred ninety-two".