648704760 has 256 divisors, whose sum is σ = 2229534720. Its totient is φ = 149568000.

The previous prime is 648704753. The next prime is 648704767. The reversal of 648704760 is 67407846.

It is an interprime number because it is at equal distance from previous prime (648704753) and next prime (648704767).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648704767) 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, 3396265 + ... + 3396455.

It is an arithmetic number, because the mean of its divisors is an integer number (8709120).

Almost surely, 2^648704760 is an apocalyptic number.

648704760 is a gapful number since it is divisible by the number (60) 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 648704760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114767360).

648704760 is an abundant number, since it is smaller than the sum of its proper divisors (1580829960).

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

648704760 is a wasteful number, since it uses less digits than its factorization.

648704760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 648704760 is about 25469.6831546841. The cubic root of 648704760 is about 865.6633445113.

The spelling of 648704760 in words is "six hundred forty-eight million, seven hundred four thousand, seven hundred sixty".