6854901760 has 256 divisors, whose sum is σ = 19377388800. Its totient is φ = 2279079936.

The previous prime is 6854901749. The next prime is 6854901769. The reversal of 6854901760 is 671094586.

It is a tau number, because it is divible by the number of its divisors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 6854901760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6854901769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49315771 + ... + 49315909.

It is an arithmetic number, because the mean of its divisors is an integer number (75692925).

Almost surely, 2^6854901760 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 6854901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9688694400).

6854901760 is an abundant number, since it is smaller than the sum of its proper divisors (12522487040).

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

6854901760 is an equidigital number, since it uses as much as digits as its factorization.

6854901760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 6854901760 is about 82794.3341056621. The cubic root of 6854901760 is about 1899.6215090950.

The spelling of 6854901760 in words is "six billion, eight hundred fifty-four million, nine hundred one thousand, seven hundred sixty".