27244704640 has 128 divisors (see below), whose sum is σ = 67513098240. Its totient is φ = 10502400000.

The previous prime is 27244704629. The next prime is 27244704659. The reversal of 27244704640 is 4640744272.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 27244704593 and 27244704602.

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 15 ways as a sum of consecutive naturals, for example, 4977105 + ... + 4982575.

It is an arithmetic number, because the mean of its divisors is an integer number (527446080).

Almost surely, 2^27244704640 is an apocalyptic number.

27244704640 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 27244704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33756549120).

27244704640 is an abundant number, since it is smaller than the sum of its proper divisors (40268393600).

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

27244704640 is a wasteful number, since it uses less digits than its factorization.

27244704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5772 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 40.

The spelling of 27244704640 in words is "twenty-seven billion, two hundred forty-four million, seven hundred four thousand, six hundred forty".