653424239664 has 240 divisors, whose sum is σ = 2232755150080. Its totient is φ = 174226567680.

The previous prime is 653424239651. The next prime is 653424239681. The reversal of 653424239664 is 466932424356.

653424239664 is a `hidden beast` number, since 6 + 5 + 3 + 4 + 242 + 396 + 6 + 4 = 666.

It is a super-3 number, since 3×653424239664³ (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 653424239664.

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, 1028574 + ... + 1537794.

Almost surely, 2^653424239664 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 653424239664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116377575040).

653424239664 is an abundant number, since it is smaller than the sum of its proper divisors (1579330910416).

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

653424239664 is a wasteful number, since it uses less digits than its factorization.

653424239664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509328 (or 509319 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 54.

The spelling of 653424239664 in words is "six hundred fifty-three billion, four hundred twenty-four million, two hundred thirty-nine thousand, six hundred sixty-four".