27925667440 has 240 divisors, whose sum is σ = 77425981920. Its totient is φ = 9322086400.

The previous prime is 27925667387. The next prime is 27925667477. The reversal of 27925667440 is 4476652972.

It is a congruent number.

It is an unprimeable number.

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, 6744891 + ... + 6749029.

It is an arithmetic number, because the mean of its divisors is an integer number (322608258).

Almost surely, 2^27925667440 is an apocalyptic number.

27925667440 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 27925667440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38712990960).

27925667440 is an abundant number, since it is smaller than the sum of its proper divisors (49500314480).

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

27925667440 is a wasteful number, since it uses less digits than its factorization.

27925667440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 27925667440 in words is "twenty-seven billion, nine hundred twenty-five million, six hundred sixty-seven thousand, four hundred forty".