8491063680 has 768 divisors, whose sum is σ = 34381670400. Its totient is φ = 1976832000.

The previous prime is 8491063673. The next prime is 8491063739. The reversal of 8491063680 is 863601948.

8491063680 is a `hidden beast` number, since 8 + 4 + 9 + 1 + 0 + 636 + 8 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 64817215 + ... + 64817345.

It is an arithmetic number, because the mean of its divisors is an integer number (44767800).

Almost surely, 2^8491063680 is an apocalyptic number.

8491063680 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 8491063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17190835200).

8491063680 is an abundant number, since it is smaller than the sum of its proper divisors (25890606720).

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

8491063680 is a wasteful number, since it uses less digits than its factorization.

8491063680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8491063680 is about 92146.9678285726. The cubic root of 8491063680 is about 2040.1121045660.

The spelling of 8491063680 in words is "eight billion, four hundred ninety-one million, sixty-three thousand, six hundred eighty".