6791117760 has 420 divisors, whose sum is σ = 28106488872. Its totient is φ = 1551965184.

The previous prime is 6791117743. The next prime is 6791117761. The reversal of 6791117760 is 677111976.

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-2 number, since 2×6791117760² = 92238560860374835200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6791117761) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1267407 + ... + 1272753.

Almost surely, 2^6791117760 is an apocalyptic number.

6791117760 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 6791117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14053244436).

6791117760 is an abundant number, since it is smaller than the sum of its proper divisors (21315371112).

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

6791117760 is a wasteful number, since it uses less digits than its factorization.

6791117760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5390 (or 5364 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The square root of 6791117760 is about 82408.2384231091. The cubic root of 6791117760 is about 1893.7112263407.

The spelling of 6791117760 in words is "six billion, seven hundred ninety-one million, one hundred seventeen thousand, seven hundred sixty".