7852638160 has 40 divisors (see below), whose sum is σ = 18702693576. Its totient is φ = 3064442880.

The previous prime is 7852638097. The next prime is 7852638191. The reversal of 7852638160 is 618362587.

It can be written as a sum of positive squares in 4 ways, for example, as 472453696 + 7380184464 = 21736^2 + 85908^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7852638160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1193769 + ... + 1200328.

Almost surely, 2^7852638160 is an apocalyptic number.

It is an amenable number.

7852638160 is an abundant number, since it is smaller than the sum of its proper divisors (10850055416).

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

7852638160 is a wasteful number, since it uses less digits than its factorization.

7852638160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394151 (or 2394145 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 7852638160 is about 88615.1124808856. The cubic root of 7852638160 is about 1987.6436643643.

The spelling of 7852638160 in words is "seven billion, eight hundred fifty-two million, six hundred thirty-eight thousand, one hundred sixty".