6749117529840 has 1600 divisors, whose sum is σ = 28858597574400. Its totient is φ = 1426902220800.

The previous prime is 6749117529829. The next prime is 6749117529851. The reversal of 6749117529840 is 489257119476.

6749117529840 is a `hidden beast` number, since 6 + 7 + 4 + 91 + 17 + 529 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6749117529829) and next prime (6749117529851).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 15031441936 + ... + 15031442384.

It is an arithmetic number, because the mean of its divisors is an integer number (18036623484).

Almost surely, 2^{6749117529840} is an apocalyptic number.

6749117529840 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 6749117529840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14429298787200).

6749117529840 is an abundant number, since it is smaller than the sum of its proper divisors (22109480044560).

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

6749117529840 is a wasteful number, since it uses less digits than its factorization.

6749117529840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 6749117529840 in words is "six trillion, seven hundred forty-nine billion, one hundred seventeen million, five hundred twenty-nine thousand, eight hundred forty".