7853788128 has 192 divisors, whose sum is σ = 21879244800. Its totient is φ = 2463436800.

The previous prime is 7853788021. The next prime is 7853788133. The reversal of 7853788128 is 8218873587.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28980633 + ... + 28980903.

It is an arithmetic number, because the mean of its divisors is an integer number (113954400).

Almost surely, 2^7853788128 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 7853788128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10939622400).

7853788128 is an abundant number, since it is smaller than the sum of its proper divisors (14025456672).

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

7853788128 is a wasteful number, since it uses less digits than its factorization.

7853788128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 553 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 57.

The square root of 7853788128 is about 88621.6007979996. The cubic root of 7853788128 is about 1987.7406854755.

The spelling of 7853788128 in words is "seven billion, eight hundred fifty-three million, seven hundred eighty-eight thousand, one hundred twenty-eight".