274099085064 has 384 divisors, whose sum is σ = 916162790400. Its totient is φ = 72250859520.

The previous prime is 274099085053. The next prime is 274099085087. The reversal of 274099085064 is 460580990472.

274099085064 is a `hidden beast` number, since 2 + 7 + 40 + 9 + 90 + 8 + 506 + 4 = 666.

274099085064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 274099085064.

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 95 ways as a sum of consecutive naturals, for example, 191811102 + ... + 191812530.

It is an arithmetic number, because the mean of its divisors is an integer number (2385840600).

Almost surely, 2^274099085064 is an apocalyptic number.

274099085064 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 274099085064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458081395200).

274099085064 is an abundant number, since it is smaller than the sum of its proper divisors (642063705336).

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

274099085064 is a wasteful number, since it uses less digits than its factorization.

274099085064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 274099085064 in words is "two hundred seventy-four billion, ninety-nine million, eighty-five thousand, sixty-four".