27083668864 has 384 divisors, whose sum is σ = 72523836000. Its totient is φ = 9970974720.

The previous prime is 27083668861. The next prime is 27083668877. The reversal of 27083668864 is 46886638072.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 27083668799 and 27083668808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27083668861) 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 47 ways as a sum of consecutive naturals, for example, 58749594 + ... + 58750054.

Almost surely, 2^27083668864 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 27083668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36261918000).

27083668864 is an abundant number, since it is smaller than the sum of its proper divisors (45440167136).

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

27083668864 is a wasteful number, since it uses less digits than its factorization.

27083668864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 58.

The spelling of 27083668864 in words is "twenty-seven billion, eighty-three million, six hundred sixty-eight thousand, eight hundred sixty-four".