27834729408 has 224 divisors, whose sum is σ = 88987579200. Its totient is φ = 8496119808.

The previous prime is 27834729401. The next prime is 27834729431. The reversal of 27834729408 is 80492743872.

It is a happy number.

27834729408 is a `hidden beast` number, since 2 + 7 + 8 + 347 + 294 + 0 + 8 = 666.

It is a super-2 number, since 2×27834729408² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27834729401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1074108 + ... + 1099716.

Almost surely, 2^27834729408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27834729408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44493789600).

27834729408 is an abundant number, since it is smaller than the sum of its proper divisors (61152849792).

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

27834729408 is a wasteful number, since it uses less digits than its factorization.

27834729408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25684 (or 25668 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 27834729408 in words is "twenty-seven billion, eight hundred thirty-four million, seven hundred twenty-nine thousand, four hundred eight".