652813859376 has 480 divisors, whose sum is σ = 2212170912000. Its totient is φ = 183759916032.

The previous prime is 652813859317. The next prime is 652813859419. The reversal of 652813859376 is 673958318256.

652813859376 is a `hidden beast` number, since 6 + 5 + 2 + 8 + 1 + 38 + 593 + 7 + 6 = 666.

It is a super-3 number, since 3×652813859376³ (a number of 36 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 789375475 + ... + 789376301.

It is an arithmetic number, because the mean of its divisors is an integer number (4608689400).

Almost surely, 2^652813859376 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 652813859376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106085456000).

652813859376 is an abundant number, since it is smaller than the sum of its proper divisors (1559357052624).

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

652813859376 is a wasteful number, since it uses less digits than its factorization.

652813859376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1347 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 652813859376 in words is "six hundred fifty-two billion, eight hundred thirteen million, eight hundred fifty-nine thousand, three hundred seventy-six".