674086275072 has 384 divisors, whose sum is σ = 2288524492800. Its totient is φ = 192050970624.

The previous prime is 674086275013. The next prime is 674086275103. The reversal of 674086275072 is 270572680476.

674086275072 is a `hidden beast` number, since 6 + 7 + 4 + 0 + 8 + 627 + 5 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148246303 + ... + 148250849.

It is an arithmetic number, because the mean of its divisors is an integer number (5959699200).

Almost surely, 2^674086275072 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 674086275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144262246400).

674086275072 is an abundant number, since it is smaller than the sum of its proper divisors (1614438217728).

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

674086275072 is a wasteful number, since it uses less digits than its factorization.

674086275072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 4942 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 674086275072 in words is "six hundred seventy-four billion, eighty-six million, two hundred seventy-five thousand, seventy-two".