27745496688 has 320 divisors, whose sum is σ = 90638198784. Its totient is φ = 7119360000.

The previous prime is 27745496683. The next prime is 27745496717. The reversal of 27745496688 is 88669454772.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27745496683) 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, 26910733 + ... + 26911763.

Almost surely, 2^27745496688 is an apocalyptic number.

27745496688 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 27745496688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45319099392).

27745496688 is an abundant number, since it is smaller than the sum of its proper divisors (62892702096).

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

27745496688 is a wasteful number, since it uses less digits than its factorization.

27745496688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1218 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 66.

The spelling of 27745496688 in words is "twenty-seven billion, seven hundred forty-five million, four hundred ninety-six thousand, six hundred eighty-eight".