674217600 has 384 divisors, whose sum is σ = 2590310400. Its totient is φ = 150958080.

The previous prime is 674217587. The next prime is 674217613. The reversal of 674217600 is 6712476.

It is an interprime number because it is at equal distance from previous prime (674217587) and next prime (674217613).

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

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, 5308737 + ... + 5308863.

It is an arithmetic number, because the mean of its divisors is an integer number (6745600).

Almost surely, 2^674217600 is an apocalyptic number.

674217600 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 674217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295155200).

674217600 is an abundant number, since it is smaller than the sum of its proper divisors (1916092800).

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

674217600 is a wasteful number, since it uses less digits than its factorization.

674217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 674217600 is about 25965.7004527126. The cubic root of 674217600 is about 876.8662642835.

It can be divided in two parts, 6742 and 17600, that added together give a palindrome (24342).

The spelling of 674217600 in words is "six hundred seventy-four million, two hundred seventeen thousand, six hundred".