648732672 has 224 divisors, whose sum is σ = 2201875200. Its totient is φ = 184909824.

The previous prime is 648732653. The next prime is 648732703. The reversal of 648732672 is 276237846.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1548079 + ... + 1548497.

It is an arithmetic number, because the mean of its divisors is an integer number (9829800).

Almost surely, 2^648732672 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 648732672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100937600).

648732672 is an abundant number, since it is smaller than the sum of its proper divisors (1553142528).

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

648732672 is an equidigital number, since it uses as much as digits as its factorization.

648732672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 431 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 648732672 is about 25470.2310943580. The cubic root of 648732672 is about 865.6757600456.

The spelling of 648732672 in words is "six hundred forty-eight million, seven hundred thirty-two thousand, six hundred seventy-two".