6674433344400 has 60 divisors (see below), whose sum is σ = 21380434817072. Its totient is φ = 1779848891520.

The previous prime is 6674433344389. The next prime is 6674433344413. The reversal of 6674433344400 is 44433344766.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×6674433344400² (a number of 26 digits) 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 6674433344400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2781012694 + ... + 2781015093.

Almost surely, 2^{6674433344400} is an apocalyptic number.

6674433344400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6674433344400 is an abundant number, since it is smaller than the sum of its proper divisors (14706001472672).

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

6674433344400 is a wasteful number, since it uses less digits than its factorization.

6674433344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5562027808 (or 5562027797 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 48.

The spelling of 6674433344400 in words is "six trillion, six hundred seventy-four billion, four hundred thirty-three million, three hundred forty-four thousand, four hundred".