674371906560 has 1408 divisors, whose sum is σ = 2916080870400. Its totient is φ = 145662935040.

The previous prime is 674371906531. The next prime is 674371906583. The reversal of 674371906560 is 65609173476.

It is a happy number.

674371906560 is a `hidden beast` number, since 6 + 7 + 4 + 3 + 71 + 9 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is a junction number, because it is equal to n+sod(n) for n = 674371906497 and 674371906506.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 491166034 + ... + 491167406.

Almost surely, 2^674371906560 is an apocalyptic number.

674371906560 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 674371906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458040435200).

674371906560 is an abundant number, since it is smaller than the sum of its proper divisors (2241708963840).

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

674371906560 is a wasteful number, since it uses less digits than its factorization.

674371906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 674371906560 in words is "six hundred seventy-four billion, three hundred seventy-one million, nine hundred six thousand, five hundred sixty".