6730776000 has 1120 divisors, whose sum is σ = 28997160192. Its totient is φ = 1526169600.

The previous prime is 6730775993. The next prime is 6730776001. The reversal of 6730776000 is 6770376.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6730776001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 143207977 + ... + 143208023.

Almost surely, 2^6730776000 is an apocalyptic number.

6730776000 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 6730776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14498580096).

6730776000 is an abundant number, since it is smaller than the sum of its proper divisors (22266384192).

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

6730776000 is a wasteful number, since it uses less digits than its factorization.

6730776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The square root of 6730776000 is about 82041.3066692626. The cubic root of 6730776000 is about 1888.0857413421.

The spelling of 6730776000 in words is "six billion, seven hundred thirty million, seven hundred seventy-six thousand".