274389641064 has 576 divisors, whose sum is σ = 1014494208000. Its totient is φ = 65332396800.

The previous prime is 274389641051. The next prime is 274389641107. The reversal of 274389641064 is 460146983472.

274389641064 is a `hidden beast` number, since 27 + 438 + 96 + 41 + 0 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 274389641064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35915757 + ... + 35923395.

Almost surely, 2^274389641064 is an apocalyptic number.

274389641064 is a gapful number since it is divisible by the number (24) 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 274389641064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507247104000).

274389641064 is an abundant number, since it is smaller than the sum of its proper divisors (740104566936).

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

274389641064 is a wasteful number, since it uses less digits than its factorization.

274389641064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7730 (or 7712 counting only the distinct ones).

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

The spelling of 274389641064 in words is "two hundred seventy-four billion, three hundred eighty-nine million, six hundred forty-one thousand, sixty-four".