6493968720 has 480 divisors, whose sum is σ = 24229520640. Its totient is φ = 1598054400.

The previous prime is 6493968697. The next prime is 6493968727. The reversal of 6493968720 is 278693946.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6493968727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63048189 + ... + 63048291.

It is an arithmetic number, because the mean of its divisors is an integer number (50478168).

Almost surely, 2^6493968720 is an apocalyptic number.

6493968720 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 6493968720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12114760320).

6493968720 is an abundant number, since it is smaller than the sum of its proper divisors (17735551920).

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

6493968720 is a wasteful number, since it uses less digits than its factorization.

6493968720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 6493968720 is about 80585.1643914685. The cubic root of 6493968720 is about 1865.6781736315.

The spelling of 6493968720 in words is "six billion, four hundred ninety-three million, nine hundred sixty-eight thousand, seven hundred twenty".