274340600064 has 108 divisors (see below), whose sum is σ = 794071084716. Its totient is φ = 91090845696.

The previous prime is 274340600059. The next prime is 274340600077. The reversal of 274340600064 is 460006043472.

274340600064 is a `hidden beast` number, since 2 + 7 + 4 + 3 + 40 + 600 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 203754737664 + 70585862400 = 451392^2 + 265680^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 360472 + ... + 823784.

Almost surely, 2^274340600064 is an apocalyptic number.

274340600064 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 274340600064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397035542358).

274340600064 is an abundant number, since it is smaller than the sum of its proper divisors (519730484652).

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

274340600064 is a wasteful number, since it uses less digits than its factorization.

274340600064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463592 (or 463575 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 274340600064 in words is "two hundred seventy-four billion, three hundred forty million, six hundred thousand, sixty-four".