6748461720 has 768 divisors, whose sum is σ = 30028078080. Its totient is φ = 1269043200.

The previous prime is 6748461719. The next prime is 6748461773. The reversal of 6748461720 is 271648476.

6748461720 is a `hidden beast` number, since 6 + 7 + 4 + 8 + 4 + 617 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21981807 + ... + 21982113.

It is an arithmetic number, because the mean of its divisors is an integer number (39099060).

Almost surely, 2^6748461720 is an apocalyptic number.

6748461720 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 6748461720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15014039040).

6748461720 is an abundant number, since it is smaller than the sum of its proper divisors (23279616360).

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

6748461720 is a wasteful number, since it uses less digits than its factorization.

6748461720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 6748461720 is about 82149.0214183955. The cubic root of 6748461720 is about 1889.7380001313.

The spelling of 6748461720 in words is "six billion, seven hundred forty-eight million, four hundred sixty-one thousand, seven hundred twenty".