674741760 has 480 divisors, whose sum is σ = 2754145152. Its totient is φ = 139345920.

The previous prime is 674741741. The next prime is 674741779. The reversal of 674741760 is 67147476.

It is an interprime number because it is at equal distance from previous prime (674741741) and next prime (674741779).

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 (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4139439 + ... + 4139601.

Almost surely, 2^674741760 is an apocalyptic number.

674741760 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 674741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377072576).

674741760 is an abundant number, since it is smaller than the sum of its proper divisors (2079403392).

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

674741760 is a wasteful number, since it uses less digits than its factorization.

674741760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 674741760 is about 25975.7918069883. The cubic root of 674741760 is about 877.0934407741.

The spelling of 674741760 in words is "six hundred seventy-four million, seven hundred forty-one thousand, seven hundred sixty".