8456232960 has 672 divisors, whose sum is σ = 34962632640. Its totient is φ = 1849688064.

The previous prime is 8456232919. The next prime is 8456232977. The reversal of 8456232960 is 692326548.

8456232960 is a `hidden beast` number, since 8 + 4 + 562 + 3 + 29 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a zygodrome in base 2.

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, 74833864 + ... + 74833976.

Almost surely, 2^8456232960 is an apocalyptic number.

8456232960 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 8456232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17481316320).

8456232960 is an abundant number, since it is smaller than the sum of its proper divisors (26506399680).

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

8456232960 is a wasteful number, since it uses less digits than its factorization.

8456232960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 8456232960 is about 91957.7781375779. The cubic root of 8456232960 is about 2037.3187381123.

The spelling of 8456232960 in words is "eight billion, four hundred fifty-six million, two hundred thirty-two thousand, nine hundred sixty".