274893405696 has 1920 divisors, whose sum is σ = 1128527769600. Its totient is φ = 65213890560.

The previous prime is 274893405673. The next prime is 274893405697. The reversal of 274893405696 is 696504398472.

274893405696 is a `hidden beast` number, since 27 + 4 + 8 + 9 + 3 + 40 + 569 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274893405697) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5186668006 + ... + 5186668058.

It is an arithmetic number, because the mean of its divisors is an integer number (587774880).

Almost surely, 2^274893405696 is an apocalyptic number.

274893405696 is a gapful number since it is divisible by the number (26) 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 274893405696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564263884800).

274893405696 is an abundant number, since it is smaller than the sum of its proper divisors (853634363904).

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

274893405696 is a wasteful number, since it uses less digits than its factorization.

274893405696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 274893405696 in words is "two hundred seventy-four billion, eight hundred ninety-three million, four hundred five thousand, six hundred ninety-six".