6713446400 has 156 divisors (see below), whose sum is σ = 16975126692. Its totient is φ = 2632581120.

The previous prime is 6713446261. The next prime is 6713446403. The reversal of 6713446400 is 46443176.

It can be written as a sum of positive squares in 6 ways, for example, as 75759616 + 6637686784 = 8704^2 + 81472^2 .

It is not an unprimeable number, because it can be changed into a prime (6713446403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5426582 + ... + 5427818.

Almost surely, 2^6713446400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6713446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8487563346).

6713446400 is an abundant number, since it is smaller than the sum of its proper divisors (10261680292).

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

6713446400 is a wasteful number, since it uses less digits than its factorization.

6713446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 6713446400 is about 81935.6235101680. The cubic root of 6713446400 is about 1886.4639426131.

Adding to 6713446400 its reverse (46443176), we get a palindrome (6759889576).

The spelling of 6713446400 in words is "six billion, seven hundred thirteen million, four hundred forty-six thousand, four hundred".