6857579128320 has 2240 divisors, whose sum is σ = 27388143921600. Its totient is φ = 1639663534080.

The previous prime is 6857579128277. The next prime is 6857579128321. The reversal of 6857579128320 is 238219757586.

6857579128320 is a `hidden beast` number, since 6 + 8 + 5 + 7 + 579 + 1 + 28 + 32 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6857579128321) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 77051450836 + ... + 77051450924.

It is an arithmetic number, because the mean of its divisors is an integer number (12226849965).

Almost surely, 2^{6857579128320} is an apocalyptic number.

6857579128320 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 6857579128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13694071960800).

6857579128320 is an abundant number, since it is smaller than the sum of its proper divisors (20530564793280).

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

6857579128320 is an equidigital number, since it uses as much as digits as its factorization.

6857579128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 6857579128320 in words is "six trillion, eight hundred fifty-seven billion, five hundred seventy-nine million, one hundred twenty-eight thousand, three hundred twenty".