674880000 has 400 divisors, whose sum is σ = 2428847520. Its totient is φ = 165888000.

The previous prime is 674879993. The next prime is 674880001. The reversal of 674880000 is 88476.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674880001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18239982 + ... + 18240018.

Almost surely, 2^674880000 is an apocalyptic number.

674880000 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 674880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214423760).

674880000 is an abundant number, since it is smaller than the sum of its proper divisors (1753967520).

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

674880000 is an equidigital number, since it uses as much as digits as its factorization.

674880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 674880000 is about 25978.4526098072. The cubic root of 674880000 is about 877.1533358455.

The spelling of 674880000 in words is "six hundred seventy-four million, eight hundred eighty thousand".