274079113728 has 320 divisors, whose sum is σ = 879912253440. Its totient is φ = 74058596352.

The previous prime is 274079113699. The next prime is 274079113757. The reversal of 274079113728 is 827311970472.

274079113728 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (274079113699) and next prime (274079113757).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224103325 + ... + 224104547.

It is an arithmetic number, because the mean of its divisors is an integer number (2749725792).

Almost surely, 2^274079113728 is an apocalyptic number.

274079113728 is a gapful number since it is divisible by the number (28) 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 274079113728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439956126720).

274079113728 is an abundant number, since it is smaller than the sum of its proper divisors (605833139712).

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

274079113728 is a wasteful number, since it uses less digits than its factorization.

274079113728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The spelling of 274079113728 in words is "two hundred seventy-four billion, seventy-nine million, one hundred thirteen thousand, seven hundred twenty-eight".