6857680320 has 560 divisors, whose sum is σ = 26288634240. Its totient is φ = 1690730496.

The previous prime is 6857680259. The next prime is 6857680321. The reversal of 6857680320 is 230867586.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6857680321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34810462 + ... + 34810658.

Almost surely, 2^6857680320 is an apocalyptic number.

6857680320 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 6857680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13144317120).

6857680320 is an abundant number, since it is smaller than the sum of its proper divisors (19430953920).

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

6857680320 is a wasteful number, since it uses less digits than its factorization.

6857680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6857680320 is about 82811.1122978070. The cubic root of 6857680320 is about 1899.8781380752.

The spelling of 6857680320 in words is "six billion, eight hundred fifty-seven million, six hundred eighty thousand, three hundred twenty".