8147604960 has 576 divisors, whose sum is σ = 32606945280. Its totient is φ = 1830666240.

The previous prime is 8147604917. The next prime is 8147604967. The reversal of 8147604960 is 694067418.

8147604960 is a `hidden beast` number, since 81 + 476 + 0 + 49 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8147604967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21272929 + ... + 21273311.

It is an arithmetic number, because the mean of its divisors is an integer number (56609280).

Almost surely, 2^8147604960 is an apocalyptic number.

8147604960 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 8147604960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16303472640).

8147604960 is an abundant number, since it is smaller than the sum of its proper divisors (24459340320).

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

8147604960 is a wasteful number, since it uses less digits than its factorization.

8147604960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8147604960 is about 90264.0845519413. The cubic root of 8147604960 is about 2012.2255292777.

The spelling of 8147604960 in words is "eight billion, one hundred forty-seven million, six hundred four thousand, nine hundred sixty".