27752326440 has 128 divisors (see below), whose sum is σ = 87892560000. Its totient is φ = 6990824448.

The previous prime is 27752326423. The next prime is 27752326471. The reversal of 27752326440 is 4462325772.

It is a junction number, because it is equal to n+sod(n) for n = 27752326392 and 27752326401.

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 31 ways as a sum of consecutive naturals, for example, 778282 + ... + 813158.

It is an arithmetic number, because the mean of its divisors is an integer number (686660625).

Almost surely, 2^27752326440 is an apocalyptic number.

27752326440 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 27752326440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43946280000).

27752326440 is an abundant number, since it is smaller than the sum of its proper divisors (60140233560).

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

27752326440 is a wasteful number, since it uses less digits than its factorization.

27752326440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35259 (or 35255 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The spelling of 27752326440 in words is "twenty-seven billion, seven hundred fifty-two million, three hundred twenty-six thousand, four hundred forty".