6677002800 has 480 divisors, whose sum is σ = 26951052800. Its totient is φ = 1556444160.

The previous prime is 6677002799. The next prime is 6677002823. The reversal of 6677002800 is 82007766.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2666349 + ... + 2668851.

Almost surely, 2^6677002800 is an apocalyptic number.

6677002800 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 6677002800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13475526400).

6677002800 is an abundant number, since it is smaller than the sum of its proper divisors (20274050000).

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

6677002800 is a wasteful number, since it uses less digits than its factorization.

6677002800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 6677002800 is about 81712.9292095198. The cubic root of 6677002800 is about 1883.0442229002.

The spelling of 6677002800 in words is "six billion, six hundred seventy-seven million, two thousand, eight hundred".