6857491200 has 648 divisors, whose sum is σ = 27174791952. Its totient is φ = 1517322240.

The previous prime is 6857491189. The next prime is 6857491211. The reversal of 6857491200 is 21947586.

It is an interprime number because it is at equal distance from previous prime (6857491189) and next prime (6857491211).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34809502 + ... + 34809698.

Almost surely, 2^6857491200 is an apocalyptic number.

6857491200 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 6857491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13587395976).

6857491200 is an abundant number, since it is smaller than the sum of its proper divisors (20317300752).

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

6857491200 is a wasteful number, since it uses less digits than its factorization.

6857491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 6857491200 is about 82809.9704141959. The cubic root of 6857491200 is about 1899.8606730706.

The spelling of 6857491200 in words is "six billion, eight hundred fifty-seven million, four hundred ninety-one thousand, two hundred".