13274761968 has 360 divisors, whose sum is σ = 42489405504. Its totient is φ = 3844039680.

The previous prime is 13274761961. The next prime is 13274761979. The reversal of 13274761968 is 86916747231.

13274761968 is a `hidden beast` number, since 13 + 2 + 7 + 4 + 7 + 619 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13274761961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84552546 + ... + 84552702.

Almost surely, 2^13274761968 is an apocalyptic number.

13274761968 is a gapful number since it is divisible by the number (18) 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 13274761968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21244702752).

13274761968 is an abundant number, since it is smaller than the sum of its proper divisors (29214643536).

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

13274761968 is a wasteful number, since it uses less digits than its factorization.

13274761968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 253 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 13274761968 in words is "thirteen billion, two hundred seventy-four million, seven hundred sixty-one thousand, nine hundred sixty-eight".