6856355760 has 160 divisors (see below), whose sum is σ = 21565619712. Its totient is φ = 1801789440.

The previous prime is 6856355699. The next prime is 6856355797. The reversal of 6856355760 is 675536586.

It is a super-2 number, since 2×6856355760² = 94019228615370355200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7239607 + ... + 7240553.

Almost surely, 2^6856355760 is an apocalyptic number.

6856355760 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 6856355760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10782809856).

6856355760 is an abundant number, since it is smaller than the sum of its proper divisors (14709263952).

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

6856355760 is a wasteful number, since it uses less digits than its factorization.

6856355760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 51.

The square root of 6856355760 is about 82803.1144341806. The cubic root of 6856355760 is about 1899.7558097996.

The spelling of 6856355760 in words is "six billion, eight hundred fifty-six million, three hundred fifty-five thousand, seven hundred sixty".