653628358656 has 720 divisors, whose sum is σ = 2398544400000. Its totient is φ = 172247482368.

The previous prime is 653628358631. The next prime is 653628358661. The reversal of 653628358656 is 656853826356.

653628358656 is a `hidden beast` number, since 6 + 536 + 2 + 8 + 35 + 8 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 653628358593 and 653628358602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523320720 + ... + 523321968.

Almost surely, 2^653628358656 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 653628358656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199272200000).

653628358656 is an abundant number, since it is smaller than the sum of its proper divisors (1744916041344).

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

653628358656 is a wasteful number, since it uses less digits than its factorization.

653628358656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1274 counting only the distinct ones).

The product of its digits is 186624000, while the sum is 63.

The spelling of 653628358656 in words is "six hundred fifty-three billion, six hundred twenty-eight million, three hundred fifty-eight thousand, six hundred fifty-six".