648128736 has 96 divisors (see below), whose sum is σ = 1908990720. Its totient is φ = 213916032.

The previous prime is 648128717. The next prime is 648128773. The reversal of 648128736 is 637821846.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 648128691 and 648128700.

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, 85351 + ... + 92633.

It is an arithmetic number, because the mean of its divisors is an integer number (19885320).

Almost surely, 2^648128736 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 648128736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954495360).

648128736 is an abundant number, since it is smaller than the sum of its proper divisors (1260861984).

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

648128736 is a wasteful number, since it uses less digits than its factorization.

648128736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7405 (or 7391 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 648128736 is about 25458.3726109899. The cubic root of 648128736 is about 865.4070437729.

The spelling of 648128736 in words is "six hundred forty-eight million, one hundred twenty-eight thousand, seven hundred thirty-six".