6857896320 has 512 divisors, whose sum is σ = 26820288000. Its totient is φ = 1642291200.

The previous prime is 6857896301. The next prime is 6857896333. The reversal of 6857896320 is 236987586.

It is a happy number.

6857896320 is a `hidden beast` number, since 6 + 8 + 578 + 9 + 63 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20718555 + ... + 20718885.

It is an arithmetic number, because the mean of its divisors is an integer number (52383375).

Almost surely, 2^6857896320 is an apocalyptic number.

6857896320 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 6857896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13410144000).

6857896320 is an abundant number, since it is smaller than the sum of its proper divisors (19962391680).

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

6857896320 is a wasteful number, since it uses less digits than its factorization.

6857896320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 6857896320 is about 82812.4164603352. The cubic root of 6857896320 is about 1899.8980850228.

The spelling of 6857896320 in words is "six billion, eight hundred fifty-seven million, eight hundred ninety-six thousand, three hundred twenty".