6786712800 has 648 divisors, whose sum is σ = 29288344176. Its totient is φ = 1443594240.

The previous prime is 6786712799. The next prime is 6786712813. The reversal of 6786712800 is 82176876.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 76255156 + ... + 76255244.

It is an arithmetic number, because the mean of its divisors is an integer number (45198062).

Almost surely, 2^6786712800 is an apocalyptic number.

6786712800 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 6786712800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14644172088).

6786712800 is an abundant number, since it is smaller than the sum of its proper divisors (22501631376).

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

6786712800 is a wasteful number, since it uses less digits than its factorization.

6786712800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 6786712800 is about 82381.5076336917. The cubic root of 6786712800 is about 1893.3016950123.

The spelling of 6786712800 in words is "six billion, seven hundred eighty-six million, seven hundred twelve thousand, eight hundred".