6813311760 has 240 divisors, whose sum is σ = 24236948736. Its totient is φ = 1777987584.

The previous prime is 6813311759. The next prime is 6813311761. The reversal of 6813311760 is 671133186.

It is an interprime number because it is at equal distance from previous prime (6813311759) and next prime (6813311761).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6813311761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 909952 + ... + 917408.

Almost surely, 2^6813311760 is an apocalyptic number.

6813311760 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 6813311760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12118474368).

6813311760 is an abundant number, since it is smaller than the sum of its proper divisors (17423636976).

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

6813311760 is a wasteful number, since it uses less digits than its factorization.

6813311760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7532 (or 7514 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6813311760 is about 82542.7874499038. The cubic root of 6813311760 is about 1895.7719241755.

The spelling of 6813311760 in words is "six billion, eight hundred thirteen million, three hundred eleven thousand, seven hundred sixty".