6826901760 has 216 divisors, whose sum is σ = 26995026240. Its totient is φ = 1560416256.

The previous prime is 6826901749. The next prime is 6826901797. The reversal of 6826901760 is 671096286.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38311 + ... + 122969.

Almost surely, 2^6826901760 is an apocalyptic number.

6826901760 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 6826901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13497513120).

6826901760 is an abundant number, since it is smaller than the sum of its proper divisors (20168124480).

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

6826901760 is a wasteful number, since it uses less digits than its factorization.

6826901760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84693 (or 84676 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 6826901760 is about 82625.0673827259. The cubic root of 6826901760 is about 1897.0315382360.

The spelling of 6826901760 in words is "six billion, eight hundred twenty-six million, nine hundred one thousand, seven hundred sixty".