6677452800 has 432 divisors, whose sum is σ = 24543038520. Its totient is φ = 1734082560.

The previous prime is 6677452799. The next prime is 6677452867. The reversal of 6677452800 is 82547766.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19814232 + ... + 19814568.

Almost surely, 2^6677452800 is an apocalyptic number.

6677452800 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 6677452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12271519260).

6677452800 is an abundant number, since it is smaller than the sum of its proper divisors (17865585720).

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

6677452800 is a wasteful number, since it uses less digits than its factorization.

6677452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 6677452800 is about 81715.6827053412. The cubic root of 6677452800 is about 1883.0865248576.

The spelling of 6677452800 in words is "six billion, six hundred seventy-seven million, four hundred fifty-two thousand, eight hundred".