647968464 has 320 divisors, whose sum is σ = 2317351680. Its totient is φ = 170311680.

The previous prime is 647968463. The next prime is 647968487. The reversal of 647968464 is 464869746.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 647968464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (647968463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1049884 + ... + 1050500.

It is an arithmetic number, because the mean of its divisors is an integer number (7241724).

Almost surely, 2^647968464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 647968464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158675840).

647968464 is an abundant number, since it is smaller than the sum of its proper divisors (1669383216).

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

647968464 is a wasteful number, since it uses less digits than its factorization.

647968464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 663 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 647968464 is about 25455.2246896389. The cubic root of 647968464 is about 865.3357040609.

The spelling of 647968464 in words is "six hundred forty-seven million, nine hundred sixty-eight thousand, four hundred sixty-four".