674415079838208 has 800 divisors, whose sum is σ = 2092398173593200. Its totient is φ = 216148139311104.

The previous prime is 674415079838153. The next prime is 674415079838237. The reversal of 674415079838208 is 802838970514476.

It is a happy number.

674415079838208 is a `hidden beast` number, since 6 + 7 + 4 + 4 + 1 + 507 + 98 + 3 + 8 + 20 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 499294865664 + 673915784972544 = 706608^2 + 25959888^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22105431658 + ... + 22105462166.

It is a 1-persistent number, because it is pandigital, but 2⋅674415079838208 = 1348830159676416 is not.

Almost surely, 2^{674415079838208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 674415079838208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046199086796600).

674415079838208 is an abundant number, since it is smaller than the sum of its proper divisors (1417983093754992).

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

674415079838208 is a wasteful number, since it uses less digits than its factorization.

674415079838208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30794 (or 30769 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 674415079838208 in words is "six hundred seventy-four trillion, four hundred fifteen billion, seventy-nine million, eight hundred thirty-eight thousand, two hundred eight".