27079663968 has 288 divisors, whose sum is σ = 94395974400. Its totient is φ = 7190995968.

The previous prime is 27079663967. The next prime is 27079664023. The reversal of 27079663968 is 86936697072.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27079663967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2023443 + ... + 2036781.

It is an arithmetic number, because the mean of its divisors is an integer number (327763800).

Almost surely, 2^27079663968 is an apocalyptic number.

27079663968 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 27079663968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47197987200).

27079663968 is an abundant number, since it is smaller than the sum of its proper divisors (67316310432).

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

27079663968 is a wasteful number, since it uses less digits than its factorization.

27079663968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13434 (or 13423 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 27079663968 in words is "twenty-seven billion, seventy-nine million, six hundred sixty-three thousand, nine hundred sixty-eight".