6713548800 has 504 divisors, whose sum is σ = 25938089856. Its totient is φ = 1527644160.

The previous prime is 6713548799. The next prime is 6713548823. The reversal of 6713548800 is 88453176.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30105489 + ... + 30105711.

It is an arithmetic number, because the mean of its divisors is an integer number (51464464).

Almost surely, 2^6713548800 is an apocalyptic number.

6713548800 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 6713548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12969044928).

6713548800 is an abundant number, since it is smaller than the sum of its proper divisors (19224541056).

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

6713548800 is a wasteful number, since it uses less digits than its factorization.

6713548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 6713548800 is about 81936.2483886100. The cubic root of 6713548800 is about 1886.4735339573.

The spelling of 6713548800 in words is "six billion, seven hundred thirteen million, five hundred forty-eight thousand, eight hundred".