674221631869440 has 1600 divisors, whose sum is σ = 2706556688035200. Its totient is φ = 159411859881984.

The previous prime is 674221631869397. The next prime is 674221631869493. The reversal of 674221631869440 is 44968136122476.

674221631869440 is a `hidden beast` number, since 6 + 7 + 4 + 2 + 2 + 1 + 6 + 3 + 186 + 9 + 440 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11988905002 + ... + 11988961238.

It is an arithmetic number, because the mean of its divisors is an integer number (1691597930022).

Almost surely, 2^{674221631869440} is an apocalyptic number.

674221631869440 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 674221631869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353278344017600).

674221631869440 is an abundant number, since it is smaller than the sum of its proper divisors (2032335056165760).

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

674221631869440 is a wasteful number, since it uses less digits than its factorization.

674221631869440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56487 (or 56462 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 674221631869440 in words is "six hundred seventy-four trillion, two hundred twenty-one billion, six hundred thirty-one million, eight hundred sixty-nine thousand, four hundred forty".