27995912064 has 640 divisors, whose sum is σ = 94549593600. Its totient is φ = 8178610176.

The previous prime is 27995912059. The next prime is 27995912081. The reversal of 27995912064 is 46021959972.

27995912064 is a `hidden beast` number, since 27 + 9 + 9 + 591 + 20 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 27995912064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 167640109 + ... + 167640275.

It is an arithmetic number, because the mean of its divisors is an integer number (147733740).

Almost surely, 2^27995912064 is an apocalyptic number.

27995912064 is a gapful number since it is divisible by the number (24) 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 27995912064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47274796800).

27995912064 is an abundant number, since it is smaller than the sum of its proper divisors (66553681536).

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

27995912064 is a wasteful number, since it uses less digits than its factorization.

27995912064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 27995912064 in words is "twenty-seven billion, nine hundred ninety-five million, nine hundred twelve thousand, sixty-four".