652764066140160 has 5824 divisors, whose sum is σ = 2806944742748160. Its totient is φ = 144290390999040.

The previous prime is 652764066140149. The next prime is 652764066140161. The reversal of 652764066140160 is 61041660467256.

652764066140160 is a `hidden beast` number, since 6 + 5 + 2 + 7 + 6 + 4 + 0 + 6 + 614 + 0 + 16 + 0 = 666.

It is a super-2 number, since 2×652764066140160² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 652764066140097 and 652764066140106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (652764066140161) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 7334427709396 + ... + 7334427709484.

Almost surely, 2^{652764066140160} is an apocalyptic number.

652764066140160 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 652764066140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403472371374080).

652764066140160 is an abundant number, since it is smaller than the sum of its proper divisors (2154180676608000).

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

652764066140160 is a wasteful number, since it uses less digits than its factorization.

652764066140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 652764066140160 in words is "six hundred fifty-two trillion, seven hundred sixty-four billion, sixty-six million, one hundred forty thousand, one hundred sixty".