27019566634368 has 768 divisors, whose sum is σ = 92750494556160. Its totient is φ = 6890377052160.

The previous prime is 27019566634351. The next prime is 27019566634409. The reversal of 27019566634368 is 86343666591072.

It is a super-2 number, since 2×27019566634368² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 27019566634299 and 27019566634308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2549732046 + ... + 2549742642.

It is an arithmetic number, because the mean of its divisors is an integer number (120768873120).

It is a 2-persistent number, because it is pandigital, and so is 2⋅27019566634368 = 54039133268736, but 3⋅27019566634368 = 81058699903104 is not.

Almost surely, 2^{27019566634368} is an apocalyptic number.

27019566634368 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 27019566634368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46375247278080).

27019566634368 is an abundant number, since it is smaller than the sum of its proper divisors (65730927921792).

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

27019566634368 is a wasteful number, since it uses less digits than its factorization.

27019566634368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10863 (or 10844 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 66.

The spelling of 27019566634368 in words is "twenty-seven trillion, nineteen billion, five hundred sixty-six million, six hundred thirty-four thousand, three hundred sixty-eight".