27069720749568 has 960 divisors, whose sum is σ = 96872581757952. Its totient is φ = 7378485903360.

The previous prime is 27069720749551. The next prime is 27069720749569. The reversal of 27069720749568 is 86594702796072.

27069720749568 is a `hidden beast` number, since 2 + 7 + 0 + 6 + 9 + 72 + 0 + 7 + 495 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 27069720749496 and 27069720749505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27069720749569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8673411048 + ... + 8673414168.

Almost surely, 2^{27069720749568} is an apocalyptic number.

27069720749568 is a gapful number since it is divisible by the number (28) 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 27069720749568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48436290878976).

27069720749568 is an abundant number, since it is smaller than the sum of its proper divisors (69802861008384).

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

27069720749568 is an equidigital number, since it uses as much as digits as its factorization.

27069720749568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 27069720749568 in words is "twenty-seven trillion, sixty-nine billion, seven hundred twenty million, seven hundred forty-nine thousand, five hundred sixty-eight".