27068912640 has 704 divisors, whose sum is σ = 119982366720. Its totient is φ = 5622497280.

The previous prime is 27068912603. The next prime is 27068912641. The reversal of 27068912640 is 4621986072.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27068912641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10643209 + ... + 10645751.

Almost surely, 2^27068912640 is an apocalyptic number.

27068912640 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 27068912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59991183360).

27068912640 is an abundant number, since it is smaller than the sum of its proper divisors (92913454080).

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

27068912640 is a wasteful number, since it uses less digits than its factorization.

27068912640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 27068912640 in words is "twenty-seven billion, sixty-eight million, nine hundred twelve thousand, six hundred forty".