27641244960 has 576 divisors, whose sum is σ = 110954188800. Its totient is φ = 6263470080.

The previous prime is 27641244913. The next prime is 27641245007. The reversal of 27641244960 is 6944214672.

It is an interprime number because it is at equal distance from previous prime (27641244913) and next prime (27641245007).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94338574 + ... + 94338866.

It is an arithmetic number, because the mean of its divisors is an integer number (192628800).

Almost surely, 2^27641244960 is an apocalyptic number.

27641244960 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 27641244960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55477094400).

27641244960 is an abundant number, since it is smaller than the sum of its proper divisors (83312943840).

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

27641244960 is a wasteful number, since it uses less digits than its factorization.

27641244960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 27641244960 in words is "twenty-seven billion, six hundred forty-one million, two hundred forty-four thousand, nine hundred sixty".