6761318538240 has 704 divisors, whose sum is σ = 27613583262720. Its totient is φ = 1536866058240.

The previous prime is 6761318538239. The next prime is 6761318538259. The reversal of 6761318538240 is 428358131676.

6761318538240 is a `hidden beast` number, since 6 + 7 + 61 + 3 + 1 + 8 + 538 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175130779 + ... + 175169381.

Almost surely, 2^{6761318538240} is an apocalyptic number.

6761318538240 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 6761318538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13806791631360).

6761318538240 is an abundant number, since it is smaller than the sum of its proper divisors (20852264724480).

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

6761318538240 is a wasteful number, since it uses less digits than its factorization.

6761318538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38825 (or 38801 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 6761318538240 in words is "six trillion, seven hundred sixty-one billion, three hundred eighteen million, five hundred thirty-eight thousand, two hundred forty".