6674317440 has 384 divisors, whose sum is σ = 25175085120. Its totient is φ = 1499258880.

The previous prime is 6674317423. The next prime is 6674317457. The reversal of 6674317440 is 447134766.

It is an interprime number because it is at equal distance from previous prime (6674317423) and next prime (6674317457).

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6674317392 and 6674317401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5738299 + ... + 5739461.

Almost surely, 2^6674317440 is an apocalyptic number.

6674317440 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 6674317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12587542560).

6674317440 is an abundant number, since it is smaller than the sum of its proper divisors (18500767680).

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

6674317440 is a wasteful number, since it uses less digits than its factorization.

6674317440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 6674317440 is about 81696.4958856866. The cubic root of 6674317440 is about 1882.7917478585.

The spelling of 6674317440 in words is "six billion, six hundred seventy-four million, three hundred seventeen thousand, four hundred forty".