6857551440 has 240 divisors, whose sum is σ = 24425668800. Its totient is φ = 1719318528.

The previous prime is 6857551433. The next prime is 6857551457. The reversal of 6857551440 is 441557586.

6857551440 is a `hidden beast` number, since 6 + 8 + 57 + 551 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1872331 + ... + 1875989.

It is an arithmetic number, because the mean of its divisors is an integer number (101773620).

Almost surely, 2^6857551440 is an apocalyptic number.

6857551440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6857551440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12212834400).

6857551440 is an abundant number, since it is smaller than the sum of its proper divisors (17568117360).

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

6857551440 is a wasteful number, since it uses less digits than its factorization.

6857551440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3834 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 6857551440 is about 82810.3341377150. The cubic root of 6857551440 is about 1899.8662361970.

The spelling of 6857551440 in words is "six billion, eight hundred fifty-seven million, five hundred fifty-one thousand, four hundred forty".