6713856000 has 624 divisors, whose sum is σ = 25515030528. Its totient is φ = 1695744000.

The previous prime is 6713855999. The next prime is 6713856011. The reversal of 6713856000 is 6583176.

6713856000 is a `hidden beast` number, since 67 + 1 + 38 + 560 + 0 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 142847977 + ... + 142848023.

It is an arithmetic number, because the mean of its divisors is an integer number (40889472).

Almost surely, 2^6713856000 is an apocalyptic number.

6713856000 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 6713856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12757515264).

6713856000 is an abundant number, since it is smaller than the sum of its proper divisors (18801174528).

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

6713856000 is a wasteful number, since it uses less digits than its factorization.

6713856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6713856000 is about 81938.1229953433. The cubic root of 6713856000 is about 1886.5023074047.

The spelling of 6713856000 in words is "six billion, seven hundred thirteen million, eight hundred fifty-six thousand".