652972769280 has 480 divisors, whose sum is σ = 2500305595200. Its totient is φ = 160724680704.

The previous prime is 652972769213. The next prime is 652972769311. The reversal of 652972769280 is 82967279256.

652972769280 is a `hidden beast` number, since 6 + 5 + 297 + 2 + 7 + 69 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×652972769280² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28742566 + ... + 28765274.

It is an arithmetic number, because the mean of its divisors is an integer number (5208969990).

Almost surely, 2^652972769280 is an apocalyptic number.

652972769280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 652972769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250152797600).

652972769280 is an abundant number, since it is smaller than the sum of its proper divisors (1847332825920).

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

652972769280 is a wasteful number, since it uses less digits than its factorization.

652972769280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22764 (or 22732 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 652972769280 in words is "six hundred fifty-two billion, nine hundred seventy-two million, seven hundred sixty-nine thousand, two hundred eighty".