8640007680 has 80 divisors (see below), whose sum is σ = 27621049104. Its totient is φ = 2304000000.

The previous prime is 8640007643. The next prime is 8640007709. The reversal of 8640007680 is 867000468.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 554821 + ... + 570180.

Almost surely, 2^8640007680 is an apocalyptic number.

8640007680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8640007680 is an abundant number, since it is smaller than the sum of its proper divisors (18981041424).

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

8640007680 is a wasteful number, since it uses less digits than its factorization.

8640007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125027 (or 1125011 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 8640007680 is about 92951.6416207912. The cubic root of 8640007680 is about 2051.9717440033.

The spelling of 8640007680 in words is "eight billion, six hundred forty million, seven thousand, six hundred eighty".