7842852864 has 520 divisors, whose sum is σ = 29305170048. Its totient is φ = 2030469120.

The previous prime is 7842852847. The next prime is 7842852881. The reversal of 7842852864 is 4682582487.

7842852864 is a `hidden beast` number, since 7 + 84 + 285 + 286 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (7842852847) and next prime (7842852881).

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 7842852864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25546599 + ... + 25546905.

Almost surely, 2^7842852864 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 7842852864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14652585024).

7842852864 is an abundant number, since it is smaller than the sum of its proper divisors (21462317184).

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

7842852864 is a wasteful number, since it uses less digits than its factorization.

7842852864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 330 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The square root of 7842852864 is about 88559.8829267519. The cubic root of 7842852864 is about 1986.8177098400.

The spelling of 7842852864 in words is "seven billion, eight hundred forty-two million, eight hundred fifty-two thousand, eight hundred sixty-four".