6713248320 has 168 divisors, whose sum is σ = 24449236344. Its totient is φ = 1684881408.

The previous prime is 6713248319. The next prime is 6713248387. The reversal of 6713248320 is 238423176.

It is a happy number.

6713248320 is a `hidden beast` number, since 6 + 7 + 1 + 324 + 8 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1005143616 + 5708104704 = 31704^2 + 75552^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19599 + ... + 117518.

Almost surely, 2^6713248320 is an apocalyptic number.

6713248320 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 6713248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12224618172).

6713248320 is an abundant number, since it is smaller than the sum of its proper divisors (17735988024).

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

6713248320 is a wasteful number, since it uses less digits than its factorization.

6713248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137157 (or 137144 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6713248320 is about 81934.4147474064. The cubic root of 6713248320 is about 1886.4453890798.

The spelling of 6713248320 in words is "six billion, seven hundred thirteen million, two hundred forty-eight thousand, three hundred twenty".