8458216800 has 144 divisors (see below), whose sum is σ = 30034452672. Its totient is φ = 2050470400.

The previous prime is 8458216799. The next prime is 8458216847. The reversal of 8458216800 is 86128548.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133794 + ... + 186593.

It is an arithmetic number, because the mean of its divisors is an integer number (208572588).

Almost surely, 2^8458216800 is an apocalyptic number.

8458216800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8458216800 is an abundant number, since it is smaller than the sum of its proper divisors (21576235872).

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

8458216800 is a wasteful number, since it uses less digits than its factorization.

8458216800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320421 (or 320408 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 8458216800 is about 91968.5641945116. The cubic root of 8458216800 is about 2037.4780446026.

The spelling of 8458216800 in words is "eight billion, four hundred fifty-eight million, two hundred sixteen thousand, eight hundred".