274666041031680 has 2112 divisors, whose sum is σ = 1089843839884800. Its totient is φ = 63524894146560.

The previous prime is 274666041031649. The next prime is 274666041031817. The reversal of 274666041031680 is 86130140666472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 402146472619 + ... + 402146473301.

It is an arithmetic number, because the mean of its divisors is an integer number (516024545400).

Almost surely, 2^{274666041031680} is an apocalyptic number.

274666041031680 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 274666041031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544921919942400).

274666041031680 is an abundant number, since it is smaller than the sum of its proper divisors (815177798853120).

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

274666041031680 is a wasteful number, since it uses less digits than its factorization.

274666041031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 274666041031680 in words is "two hundred seventy-four trillion, six hundred sixty-six billion, forty-one million, thirty-one thousand, six hundred eighty".