7852782201264 has 640 divisors, whose sum is σ = 30278622044160. Its totient is φ = 1881877017600.

The previous prime is 7852782201223. The next prime is 7852782201269. The reversal of 7852782201264 is 4621022872587.

It is a happy number.

7852782201264 is a `hidden beast` number, since 7 + 8 + 527 + 82 + 20 + 12 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7852782201264.

It is not an unprimeable number, because it can be changed into a prime (7852782201269) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1457725579 + ... + 1457730965.

It is an arithmetic number, because the mean of its divisors is an integer number (47310346944).

Almost surely, 2^{7852782201264} 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 7852782201264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15139311022080).

7852782201264 is an abundant number, since it is smaller than the sum of its proper divisors (22425839842896).

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

7852782201264 is a wasteful number, since it uses less digits than its factorization.

7852782201264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8806 (or 8794 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 7852782201264 in words is "seven trillion, eight hundred fifty-two billion, seven hundred eighty-two million, two hundred one thousand, two hundred sixty-four".