27708945264 has 1200 divisors, whose sum is σ = 113870997504. Its totient is φ = 6307891200.

The previous prime is 27708945239. The next prime is 27708945287. The reversal of 27708945264 is 46254980772.

27708945264 is a `hidden beast` number, since 27 + 7 + 0 + 8 + 94 + 526 + 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 27708945264.

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 239 ways as a sum of consecutive naturals, for example, 522810262 + ... + 522810314.

Almost surely, 2^27708945264 is an apocalyptic number.

27708945264 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 27708945264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56935498752).

27708945264 is an abundant number, since it is smaller than the sum of its proper divisors (86162052240).

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

27708945264 is a wasteful number, since it uses less digits than its factorization.

27708945264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 27708945264 in words is "twenty-seven billion, seven hundred eight million, nine hundred forty-five thousand, two hundred sixty-four".