7857609144 has 256 divisors, whose sum is σ = 26224128000. Its totient is φ = 1900247040.

The previous prime is 7857609143. The next prime is 7857609157. The reversal of 7857609144 is 4419067587.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7857609143) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2069712 + ... + 2073504.

It is an arithmetic number, because the mean of its divisors is an integer number (102438000).

Almost surely, 2^7857609144 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 7857609144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13112064000).

7857609144 is an abundant number, since it is smaller than the sum of its proper divisors (18366518856).

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

7857609144 is a wasteful number, since it uses less digits than its factorization.

7857609144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The square root of 7857609144 is about 88643.1562163713. The cubic root of 7857609144 is about 1988.0629909854.

The spelling of 7857609144 in words is "seven billion, eight hundred fifty-seven million, six hundred nine thousand, one hundred forty-four".