27674237952 has 264 divisors, whose sum is σ = 83633050800. Its totient is φ = 9039790080.

The previous prime is 27674237879. The next prime is 27674237957. The reversal of 27674237952 is 25973247672.

It is a happy number.

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

Its product of digits (8890560) is a multiple of the sum of its prime factors (420).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27674237957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102878074 + ... + 102878342.

Almost surely, 2^27674237952 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 27674237952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41816525400).

27674237952 is an abundant number, since it is smaller than the sum of its proper divisors (55958812848).

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

27674237952 is an equidigital number, since it uses as much as digits as its factorization.

27674237952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 335 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The spelling of 27674237952 in words is "twenty-seven billion, six hundred seventy-four million, two hundred thirty-seven thousand, nine hundred fifty-two".