6674870400 has 384 divisors, whose sum is σ = 24769843200. Its totient is φ = 1565184000.

The previous prime is 6674870399. The next prime is 6674870407. The reversal of 6674870400 is 40784766.

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

It is not an unprimeable number, because it can be changed into a prime (6674870407) 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, 3272581 + ... + 3274619.

It is an arithmetic number, because the mean of its divisors is an integer number (64504800).

Almost surely, 2^6674870400 is an apocalyptic number.

6674870400 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 6674870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12384921600).

6674870400 is an abundant number, since it is smaller than the sum of its proper divisors (18094972800).

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

6674870400 is a wasteful number, since it uses less digits than its factorization.

6674870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 6674870400 is about 81699.8800488716. The cubic root of 6674870400 is about 1882.8437421777.

The spelling of 6674870400 in words is "six billion, six hundred seventy-four million, eight hundred seventy thousand, four hundred".