6714316800 has 360 divisors, whose sum is σ = 24883758900. Its totient is φ = 1789378560.

The previous prime is 6714316769. The next prime is 6714316811. The reversal of 6714316800 is 86134176.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4146391 + ... + 4148009.

Almost surely, 2^6714316800 is an apocalyptic number.

6714316800 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 6714316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12441879450).

6714316800 is an abundant number, since it is smaller than the sum of its proper divisors (18169442100).

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

6714316800 is a wasteful number, since it uses less digits than its factorization.

6714316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6714316800 is about 81940.9348250311. The cubic root of 6714316800 is about 1886.5454659302.

The spelling of 6714316800 in words is "six billion, seven hundred fourteen million, three hundred sixteen thousand, eight hundred".