6674324800 has 336 divisors, whose sum is σ = 19937723904. Its totient is φ = 2165760000.

The previous prime is 6674324753. The next prime is 6674324803. The reversal of 6674324800 is 84234766.

It is a happy number.

It is a super-2 number, since 2×6674324800² = 89093223071790080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6674324803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7092330 + ... + 7093270.

It is an arithmetic number, because the mean of its divisors is an integer number (59338464).

Almost surely, 2^6674324800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6674324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9968861952).

6674324800 is an abundant number, since it is smaller than the sum of its proper divisors (13263399104).

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

6674324800 is a wasteful number, since it uses less digits than its factorization.

6674324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 6674324800 is about 81696.5409304458. The cubic root of 6674324800 is about 1882.7924399314.

The spelling of 6674324800 in words is "six billion, six hundred seventy-four million, three hundred twenty-four thousand, eight hundred".