8400288064 has 56 divisors (see below), whose sum is σ = 20171298240. Its totient is φ = 3388348416.

The previous prime is 8400288059. The next prime is 8400288073. The reversal of 8400288064 is 4608820048.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 543874 + ... + 559105.

Almost surely, 2^8400288064 is an apocalyptic number.

It is an amenable number.

8400288064 is an abundant number, since it is smaller than the sum of its proper divisors (11771010176).

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

8400288064 is a wasteful number, since it uses less digits than its factorization.

8400288064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103015 (or 1103005 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 8400288064 is about 91653.0854036022. The cubic root of 8400288064 is about 2032.8159504435.

The spelling of 8400288064 in words is "eight billion, four hundred million, two hundred eighty-eight thousand, sixty-four".