27964366560 has 384 divisors, whose sum is σ = 105734160000. Its totient is φ = 6862012416.

The previous prime is 27964366541. The next prime is 27964366589. The reversal of 27964366560 is 6566346972.

27964366560 is a `hidden beast` number, since 2 + 7 + 96 + 436 + 65 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 27964366497 and 27964366506.

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 63 ways as a sum of consecutive naturals, for example, 25215286 + ... + 25216394.

It is an arithmetic number, because the mean of its divisors is an integer number (275349375).

Almost surely, 2^27964366560 is an apocalyptic number.

27964366560 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 27964366560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52867080000).

27964366560 is an abundant number, since it is smaller than the sum of its proper divisors (77769793440).

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

27964366560 is a wasteful number, since it uses less digits than its factorization.

27964366560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 27964366560 in words is "twenty-seven billion, nine hundred sixty-four million, three hundred sixty-six thousand, five hundred sixty".