6857134900 has 288 divisors, whose sum is σ = 19998720000. Its totient is φ = 1976832000.

The previous prime is 6857134891. The next prime is 6857134937. The reversal of 6857134900 is 94317586.

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 95 ways as a sum of consecutive naturals, for example, 5489476 + ... + 5490724.

It is an arithmetic number, because the mean of its divisors is an integer number (69440000).

Almost surely, 2^6857134900 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 6857134900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999360000).

6857134900 is an abundant number, since it is smaller than the sum of its proper divisors (13141585100).

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

6857134900 is a wasteful number, since it uses less digits than its factorization.

6857134900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 6857134900 is about 82807.8190752540. The cubic root of 6857134900 is about 1899.8277683215.

The spelling of 6857134900 in words is "six billion, eight hundred fifty-seven million, one hundred thirty-four thousand, nine hundred".