6856294400 has 180 divisors, whose sum is σ = 17918306280. Its totient is φ = 2595225600.

The previous prime is 6856294399. The next prime is 6856294427. The reversal of 6856294400 is 44926586.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7781960 + ... + 7782840.

It is an arithmetic number, because the mean of its divisors is an integer number (99546146).

Almost surely, 2^6856294400 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 6856294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8959153140).

6856294400 is an abundant number, since it is smaller than the sum of its proper divisors (11062011880).

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

6856294400 is an equidigital number, since it uses as much as digits as its factorization.

6856294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 6856294400 is about 82802.7439158872. The cubic root of 6856294400 is about 1899.7501425828.

The spelling of 6856294400 in words is "six billion, eight hundred fifty-six million, two hundred ninety-four thousand, four hundred".