6680376000 has 672 divisors, whose sum is σ = 25615489536. Its totient is φ = 1658880000.

The previous prime is 6680375993. The next prime is 6680376019. The reversal of 6680376000 is 6730866.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 91511964 + ... + 91512036.

It is an arithmetic number, because the mean of its divisors is an integer number (38118288).

Almost surely, 2^6680376000 is an apocalyptic number.

6680376000 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 6680376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12807744768).

6680376000 is an abundant number, since it is smaller than the sum of its proper divisors (18935113536).

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

6680376000 is a wasteful number, since it uses less digits than its factorization.

6680376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6680376000 is about 81733.5671557286. The cubic root of 6680376000 is about 1883.3612721119.

The spelling of 6680376000 in words is "six billion, six hundred eighty million, three hundred seventy-six thousand".