27438370640 has 80 divisors (see below), whose sum is σ = 66124553472. Its totient is φ = 10581407232.

The previous prime is 27438370579. The next prime is 27438370667. The reversal of 27438370640 is 4607383472.

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

It is a junction number, because it is equal to n+sod(n) for n = 27438370591 and 27438370600.

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, 197462 + ... + 306378.

Almost surely, 2^27438370640 is an apocalyptic number.

27438370640 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 27438370640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33062276736).

27438370640 is an abundant number, since it is smaller than the sum of its proper divisors (38686182832).

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

27438370640 is a wasteful number, since it uses less digits than its factorization.

27438370640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109044 (or 109038 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 44.

The spelling of 27438370640 in words is "twenty-seven billion, four hundred thirty-eight million, three hundred seventy thousand, six hundred forty".