274338925064640 has 560 divisors, whose sum is σ = 991604296188000. Its totient is φ = 71986829303808.

The previous prime is 274338925064573. The next prime is 274338925064683. The reversal of 274338925064640 is 46460529833472.

It is a happy number.

274338925064640 is a `hidden beast` number, since 2 + 7 + 4 + 3 + 3 + 89 + 2 + 506 + 4 + 6 + 40 = 666.

It is a super-2 number, since 2×274338925064640² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 412910626 + ... + 413574494.

Almost surely, 2^{274338925064640} is an apocalyptic number.

274338925064640 is a gapful number since it is divisible by the number (20) 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 274338925064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495802148094000).

274338925064640 is an abundant number, since it is smaller than the sum of its proper divisors (717265371123360).

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

274338925064640 is a wasteful number, since it uses less digits than its factorization.

274338925064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664154 (or 664135 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 274338925064640 in words is "two hundred seventy-four trillion, three hundred thirty-eight billion, nine hundred twenty-five million, sixty-four thousand, six hundred forty".