6713222400 has 162 divisors, whose sum is σ = 24001491150. Its totient is φ = 1790177280.

The previous prime is 6713222363. The next prime is 6713222401. The reversal of 6713222400 is 42223176.

It can be written as a sum of positive squares in 3 ways, for example, as 295289856 + 6417932544 = 17184^2 + 80112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6713222401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 675 + ... + 115874.

Almost surely, 2^6713222400 is an apocalyptic number.

6713222400 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 6713222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12000745575).

6713222400 is an abundant number, since it is smaller than the sum of its proper divisors (17288268750).

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

6713222400 is a wasteful number, since it uses less digits than its factorization.

6713222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116581 (or 116559 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6713222400 is about 81934.2565719614. The cubic root of 6713222400 is about 1886.4429612076.

Adding to 6713222400 its reverse (42223176), we get a palindrome (6755445576).

The spelling of 6713222400 in words is "six billion, seven hundred thirteen million, two hundred twenty-two thousand, four hundred".