648727680 has 256 divisors, whose sum is σ = 2185574400. Its totient is φ = 163430400.

The previous prime is 648727679. The next prime is 648727693. The reversal of 648727680 is 86727846.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3396385 + ... + 3396575.

It is an arithmetic number, because the mean of its divisors is an integer number (8537400).

Almost surely, 2^648727680 is an apocalyptic number.

648727680 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 648727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092787200).

648727680 is an abundant number, since it is smaller than the sum of its proper divisors (1536846720).

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

648727680 is a wasteful number, since it uses less digits than its factorization.

648727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 648727680 is about 25470.1330974143. The cubic root of 648727680 is about 865.6735395807.

The spelling of 648727680 in words is "six hundred forty-eight million, seven hundred twenty-seven thousand, six hundred eighty".