6673378430400 has 1344 divisors, whose sum is σ = 25805383349760. Its totient is φ = 1494097920000.

The previous prime is 6673378430393. The next prime is 6673378430401. The reversal of 6673378430400 is 40348733766.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6673378430401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3455917435 + ... + 3455919365.

It is an arithmetic number, because the mean of its divisors is an integer number (19200434040).

Almost surely, 2^{6673378430400} is an apocalyptic number.

6673378430400 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 6673378430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12902691674880).

6673378430400 is an abundant number, since it is smaller than the sum of its proper divisors (19132004919360).

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

6673378430400 is a wasteful number, since it uses less digits than its factorization.

6673378430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 51.

The spelling of 6673378430400 in words is "six trillion, six hundred seventy-three billion, three hundred seventy-eight million, four hundred thirty thousand, four hundred".