647516864 has 56 divisors (see below), whose sum is σ = 1317711360. Its totient is φ = 315604224.

The previous prime is 647516851. The next prime is 647516867. The reversal of 647516864 is 468615746.

It is not an unprimeable number, because it can be changed into a prime (647516867) by changing a digit.

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, 418877 + ... + 420419.

It is an arithmetic number, because the mean of its divisors is an integer number (23530560).

Almost surely, 2^647516864 is an apocalyptic number.

647516864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 647516864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658855680).

647516864 is an abundant number, since it is smaller than the sum of its proper divisors (670194496).

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

647516864 is a wasteful number, since it uses less digits than its factorization.

647516864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1707 counting only the distinct ones).

The product of its digits is 967680, while the sum is 47.

The square root of 647516864 is about 25446.3526659520. The cubic root of 647516864 is about 865.1346261553.

The spelling of 647516864 in words is "six hundred forty-seven million, five hundred sixteen thousand, eight hundred sixty-four".