27064688760 has 384 divisors, whose sum is σ = 94426637760. Its totient is φ = 6967296000.

The previous prime is 27064688759. The next prime is 27064688767. The reversal of 27064688760 is 6788646072.

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

It is a junction number, because it is equal to n+sod(n) for n = 27064688697 and 27064688706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27064688767) 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, 45032460 + ... + 45033060.

Almost surely, 2^27064688760 is an apocalyptic number.

27064688760 is a gapful number since it is divisible by the number (20) 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 27064688760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47213318880).

27064688760 is an abundant number, since it is smaller than the sum of its proper divisors (67361949000).

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

27064688760 is a wasteful number, since it uses less digits than its factorization.

27064688760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 765 counting only the distinct ones).

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

The spelling of 27064688760 in words is "twenty-seven billion, sixty-four million, six hundred eighty-eight thousand, seven hundred sixty".