6716751185340 has 864 divisors, whose sum is σ = 24961606750080. Its totient is φ = 1486016741376.

The previous prime is 6716751185327. The next prime is 6716751185369. The reversal of 6716751185340 is 435811576176.

6716751185340 is a `hidden beast` number, since 6 + 7 + 1 + 6 + 7 + 511 + 85 + 3 + 40 = 666.

It is a super-2 number, since 2×6716751185340² (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8734396476 + ... + 8734397244.

Almost surely, 2^{6716751185340} is an apocalyptic number.

6716751185340 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 6716751185340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12480803375040).

6716751185340 is an abundant number, since it is smaller than the sum of its proper divisors (18244855564740).

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

6716751185340 is a wasteful number, since it uses less digits than its factorization.

6716751185340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 6716751185340 in words is "six trillion, seven hundred sixteen billion, seven hundred fifty-one million, one hundred eighty-five thousand, three hundred forty".