653006608128 has 648 divisors, whose sum is σ = 2234828494080. Its totient is φ = 182810234880.

The previous prime is 653006608099. The next prime is 653006608151. The reversal of 653006608128 is 821806600356.

653006608128 is a `hidden beast` number, since 6 + 5 + 30 + 0 + 6 + 608 + 1 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1881863251 + ... + 1881863597.

Almost surely, 2^653006608128 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 653006608128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117414247040).

653006608128 is an abundant number, since it is smaller than the sum of its proper divisors (1581821885952).

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

653006608128 is a wasteful number, since it uses less digits than its factorization.

653006608128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 653006608128 in words is "six hundred fifty-three billion, six million, six hundred eight thousand, one hundred twenty-eight".