27049643712 has 672 divisors, whose sum is σ = 101695910400. Its totient is φ = 6865274880.

The previous prime is 27049643701. The next prime is 27049643713. The reversal of 27049643712 is 21734694072.

27049643712 is a `hidden beast` number, since 270 + 4 + 9 + 6 + 4 + 371 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×27049643712² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27049643713) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151115239 + ... + 151115417.

It is an arithmetic number, because the mean of its divisors is an integer number (151333200).

Almost surely, 2^27049643712 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 27049643712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50847955200).

27049643712 is an abundant number, since it is smaller than the sum of its proper divisors (74646266688).

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

27049643712 is a wasteful number, since it uses less digits than its factorization.

27049643712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

It can be divided in two parts, 27049 and 643712, that added together give a square (670761 = 819²).

The spelling of 27049643712 in words is "twenty-seven billion, forty-nine million, six hundred forty-three thousand, seven hundred twelve".