6857380800 has 252 divisors, whose sum is σ = 24505462800. Its totient is φ = 1818685440.

The previous prime is 6857380799. The next prime is 6857380811. The reversal of 6857380800 is 80837586.

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 35 ways as a sum of consecutive naturals, for example, 2864404 + ... + 2866796.

It is an arithmetic number, because the mean of its divisors is an integer number (97243900).

Almost surely, 2^6857380800 is an apocalyptic number.

6857380800 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 6857380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12252731400).

6857380800 is an abundant number, since it is smaller than the sum of its proper divisors (17648082000).

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

6857380800 is a wasteful number, since it uses less digits than its factorization.

6857380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 6857380800 is about 82809.3038251138. The cubic root of 6857380800 is about 1899.8504776148.

The spelling of 6857380800 in words is "six billion, eight hundred fifty-seven million, three hundred eighty thousand, eight hundred".