6782976000 has 456 divisors, whose sum is σ = 25518096864. Its totient is φ = 1730150400.

The previous prime is 6782975989. The next prime is 6782976001. The reversal of 6782976000 is 6792876.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (6782976001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 294911989 + ... + 294912011.

Almost surely, 2^6782976000 is an apocalyptic number.

6782976000 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 6782976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12759048432).

6782976000 is an abundant number, since it is smaller than the sum of its proper divisors (18735120864).

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

6782976000 is an frugal number, since it uses more digits than its factorization.

6782976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 6782976000 is about 82358.8246637845. The cubic root of 6782976000 is about 1892.9541439042.

The spelling of 6782976000 in words is "six billion, seven hundred eighty-two million, nine hundred seventy-six thousand".