6746668500 has 384 divisors, whose sum is σ = 23458885632. Its totient is φ = 1485120000.

The previous prime is 6746668471. The next prime is 6746668507. The reversal of 6746668500 is 58666476.

It is a self number, because there is not a number n which added to its sum of digits gives 6746668500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6746668507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15229279 + ... + 15229721.

It is an arithmetic number, because the mean of its divisors is an integer number (61090848).

Almost surely, 2^6746668500 is an apocalyptic number.

6746668500 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 6746668500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11729442816).

6746668500 is an abundant number, since it is smaller than the sum of its proper divisors (16712217132).

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

6746668500 is a wasteful number, since it uses less digits than its factorization.

6746668500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 6746668500 is about 82138.1062601275. The cubic root of 6746668500 is about 1889.5706031592.

The spelling of 6746668500 in words is "six billion, seven hundred forty-six million, six hundred sixty-eight thousand, five hundred".