27775750640 has 80 divisors (see below), whose sum is σ = 70607311200. Its totient is φ = 10077634560.

The previous prime is 27775750633. The next prime is 27775750711. The reversal of 27775750640 is 4605757772.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 359972 + ... + 430268.

It is an arithmetic number, because the mean of its divisors is an integer number (882591390).

Almost surely, 2^27775750640 is an apocalyptic number.

27775750640 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 27775750640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35303655600).

27775750640 is an abundant number, since it is smaller than the sum of its proper divisors (42831560560).

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

27775750640 is a wasteful number, since it uses less digits than its factorization.

27775750640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70770 (or 70764 counting only the distinct ones).

The product of its (nonzero) digits is 2881200, while the sum is 50.

The spelling of 27775750640 in words is "twenty-seven billion, seven hundred seventy-five million, seven hundred fifty thousand, six hundred forty".