274374656640 has 640 divisors, whose sum is σ = 1128197030400. Its totient is φ = 62245158912.

The previous prime is 274374656639. The next prime is 274374656683. The reversal of 274374656640 is 46656473472.

274374656640 is a `hidden beast` number, since 2 + 7 + 4 + 3 + 74 + 6 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49711801 + ... + 49717319.

It is an arithmetic number, because the mean of its divisors is an integer number (1762807860).

Almost surely, 2^274374656640 is an apocalyptic number.

274374656640 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 274374656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564098515200).

274374656640 is an abundant number, since it is smaller than the sum of its proper divisors (853822373760).

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

274374656640 is a wasteful number, since it uses less digits than its factorization.

274374656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694 (or 5673 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 274374656640 in words is "two hundred seventy-four billion, three hundred seventy-four million, six hundred fifty-six thousand, six hundred forty".