6857601140 has 96 divisors (see below), whose sum is σ = 16126817280. Its totient is φ = 2432332800.

The previous prime is 6857601131. The next prime is 6857601169. The reversal of 6857601140 is 411067586.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6857601094 and 6857601103.

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, 1117280 + ... + 1123400.

It is an arithmetic number, because the mean of its divisors is an integer number (167987680).

Almost surely, 2^6857601140 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 6857601140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8063408640).

6857601140 is an abundant number, since it is smaller than the sum of its proper divisors (9269216140).

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

6857601140 is a wasteful number, since it uses less digits than its factorization.

6857601140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6313 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 6857601140 is about 82810.6342204913. The cubic root of 6857601140 is about 1899.8708259365.

The spelling of 6857601140 in words is "six billion, eight hundred fifty-seven million, six hundred one thousand, one hundred forty".