6673914000 has 400 divisors, whose sum is σ = 25969223280. Its totient is φ = 1642291200.

The previous prime is 6673913971. The next prime is 6673914001. The reversal of 6673914000 is 4193766.

It can be written as a sum of positive squares in 8 ways, for example, as 2271856896 + 4402057104 = 47664^2 + 66348^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×6673914000² = 89082256158792000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6673914001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2104416 + ... + 2107584.

Almost surely, 2^6673914000 is an apocalyptic number.

6673914000 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 6673914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12984611640).

6673914000 is an abundant number, since it is smaller than the sum of its proper divisors (19295309280).

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

6673914000 is a wasteful number, since it uses less digits than its factorization.

6673914000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 6673914000 is about 81694.0267094235. The cubic root of 6673914000 is about 1882.7538109551.

The spelling of 6673914000 in words is "six billion, six hundred seventy-three million, nine hundred fourteen thousand".