674956800 has 720 divisors, whose sum is σ = 2955144192. Its totient is φ = 149299200.

The previous prime is 674956753. The next prime is 674956813. The reversal of 674956800 is 8659476.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21772785 + ... + 21772815.

Almost surely, 2^674956800 is an apocalyptic number.

674956800 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 674956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477572096).

674956800 is an abundant number, since it is smaller than the sum of its proper divisors (2280187392).

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

674956800 is an equidigital number, since it uses as much as digits as its factorization.

674956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 674956800 is about 25979.9307158430. The cubic root of 674956800 is about 877.1866073511.

The spelling of 674956800 in words is "six hundred seventy-four million, nine hundred fifty-six thousand, eight hundred".