674979428760 has 1024 divisors, whose sum is σ = 2776606801920. Its totient is φ = 127207342080.

The previous prime is 674979428737. The next prime is 674979428807. The reversal of 674979428760 is 67824979476.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 305005414 + ... + 305007626.

It is an arithmetic number, because the mean of its divisors is an integer number (2711530080).

Almost surely, 2^674979428760 is an apocalyptic number.

674979428760 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 674979428760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388303400960).

674979428760 is an abundant number, since it is smaller than the sum of its proper divisors (2101627373160).

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

674979428760 is a wasteful number, since it uses less digits than its factorization.

674979428760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 69.

The spelling of 674979428760 in words is "six hundred seventy-four billion, nine hundred seventy-nine million, four hundred twenty-eight thousand, seven hundred sixty".