6851728465920 has 1568 divisors, whose sum is σ = 27977301525600. Its totient is φ = 1596092055552.

The previous prime is 6851728465877. The next prime is 6851728465987. The reversal of 6851728465920 is 295648271586.

6851728465920 is a `hidden beast` number, since 6 + 8 + 5 + 17 + 28 + 4 + 6 + 592 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7375380016 + ... + 7375380944.

Almost surely, 2^{6851728465920} is an apocalyptic number.

6851728465920 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 6851728465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13988650762800).

6851728465920 is an abundant number, since it is smaller than the sum of its proper divisors (21125573059680).

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

6851728465920 is an equidigital number, since it uses as much as digits as its factorization.

6851728465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 6851728465920 in words is "six trillion, eight hundred fifty-one billion, seven hundred twenty-eight million, four hundred sixty-five thousand, nine hundred twenty".