8267200464 has 80 divisors (see below), whose sum is σ = 21472832000. Its totient is φ = 2740832640.

The previous prime is 8267200457. The next prime is 8267200489. The reversal of 8267200464 is 4640027628.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13101429 + ... + 13102059.

It is an arithmetic number, because the mean of its divisors is an integer number (268410400).

Almost surely, 2^8267200464 is an apocalyptic number.

It is an amenable number.

8267200464 is an abundant number, since it is smaller than the sum of its proper divisors (13205631536).

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

8267200464 is a wasteful number, since it uses less digits than its factorization.

8267200464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 8267200464 is about 90924.1467598129. The cubic root of 8267200464 is about 2022.0233022563.

The spelling of 8267200464 in words is "eight billion, two hundred sixty-seven million, two hundred thousand, four hundred sixty-four".