8460068800 has 42 divisors (see below), whose sum is σ = 20817060728. Its totient is φ = 3384026880.

The previous prime is 8460068797. The next prime is 8460068831. The reversal of 8460068800 is 88600648.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2642172 + ... + 2645371.

Almost surely, 2^8460068800 is an apocalyptic number.

8460068800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8460068800 is an abundant number, since it is smaller than the sum of its proper divisors (12356991928).

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

8460068800 is a wasteful number, since it uses less digits than its factorization.

8460068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5287565 (or 5287550 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 8460068800 is about 91978.6323012035. The cubic root of 8460068800 is about 2037.6267415859.

The spelling of 8460068800 in words is "eight billion, four hundred sixty million, sixty-eight thousand, eight hundred".