27753358464 has 144 divisors (see below), whose sum is σ = 86479671330. Its totient is φ = 8539435008.

The previous prime is 27753358459. The next prime is 27753358481. The reversal of 27753358464 is 46485335772.

It is a happy number.

27753358464 is a `hidden beast` number, since 2 + 7 + 7 + 53 + 3 + 584 + 6 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 10487398464 + 17265960000 = 102408^2 + 131400^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 27753358464.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 123412 + ... + 265964.

Almost surely, 2^27753358464 is an apocalyptic number.

27753358464 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 27753358464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43239835665).

27753358464 is an abundant number, since it is smaller than the sum of its proper divisors (58726312866).

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

27753358464 is a wasteful number, since it uses less digits than its factorization.

27753358464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142599 (or 142571 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

The spelling of 27753358464 in words is "twenty-seven billion, seven hundred fifty-three million, three hundred fifty-eight thousand, four hundred sixty-four".