6749884586880 has 2560 divisors, whose sum is σ = 27588576153600. Its totient is φ = 1565133373440.

The previous prime is 6749884586869. The next prime is 6749884586903. The reversal of 6749884586880 is 886854889476.

6749884586880 is a `hidden beast` number, since 6 + 7 + 4 + 9 + 88 + 458 + 6 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 6749884586880.

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, 69586438992 + ... + 69586439088.

It is an arithmetic number, because the mean of its divisors is an integer number (10776787560).

Almost surely, 2^{6749884586880} is an apocalyptic number.

6749884586880 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 6749884586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13794288076800).

6749884586880 is an abundant number, since it is smaller than the sum of its proper divisors (20838691566720).

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

6749884586880 is a wasteful number, since it uses less digits than its factorization.

6749884586880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 5945425920, while the sum is 81.

The spelling of 6749884586880 in words is "six trillion, seven hundred forty-nine billion, eight hundred eighty-four million, five hundred eighty-six thousand, eight hundred eighty".