6676348800 has 384 divisors, whose sum is σ = 25407302400. Its totient is φ = 1522892800.

The previous prime is 6676348787. The next prime is 6676348831. The reversal of 6676348800 is 88436766.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×6676348800² = 89147266598522880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6676348800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1793341 + ... + 1797059.

It is an arithmetic number, because the mean of its divisors is an integer number (66164850).

Almost surely, 2^6676348800 is an apocalyptic number.

6676348800 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 6676348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12703651200).

6676348800 is an abundant number, since it is smaller than the sum of its proper divisors (18730953600).

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

6676348800 is a wasteful number, since it uses less digits than its factorization.

6676348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 6676348800 is about 81708.9272968383. The cubic root of 6676348800 is about 1882.9827406669.

The spelling of 6676348800 in words is "six billion, six hundred seventy-six million, three hundred forty-eight thousand, eight hundred".