674311680 has 480 divisors, whose sum is σ = 2765340864. Its totient is φ = 148635648.

The previous prime is 674311667. The next prime is 674311697. The reversal of 674311680 is 86113476.

674311680 is a `hidden beast` number, since 67 + 431 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

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, 5967304 + ... + 5967416.

Almost surely, 2^674311680 is an apocalyptic number.

674311680 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 674311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382670432).

674311680 is an abundant number, since it is smaller than the sum of its proper divisors (2091029184).

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

674311680 is a wasteful number, since it uses less digits than its factorization.

674311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 674311680 is about 25967.5120102023. The cubic root of 674311680 is about 876.9070482190.

The spelling of 674311680 in words is "six hundred seventy-four million, three hundred eleven thousand, six hundred eighty".