27064642752 has 560 divisors, whose sum is σ = 96775219200. Its totient is φ = 7468070400.

The previous prime is 27064642729. The next prime is 27064642807. The reversal of 27064642752 is 25724646072.

It is a happy number.

It is a super-2 number, since 2×27064642752² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27064642698 and 27064642707.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55121227 + ... + 55121717.

Almost surely, 2^27064642752 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 27064642752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48387609600).

27064642752 is an abundant number, since it is smaller than the sum of its proper divisors (69710576448).

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

27064642752 is an equidigital number, since it uses as much as digits as its factorization.

27064642752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 27064642752 in words is "twenty-seven billion, sixty-four million, six hundred forty-two thousand, seven hundred fifty-two".