27490440960 has 720 divisors, whose sum is σ = 104707088640. Its totient is φ = 6874398720.

The previous prime is 27490440917. The next prime is 27490440977. The reversal of 27490440960 is 6904409472.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 123275409 + ... + 123275631.

It is an arithmetic number, because the mean of its divisors is an integer number (145426512).

Almost surely, 2^27490440960 is an apocalyptic number.

27490440960 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 27490440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52353544320).

27490440960 is an abundant number, since it is smaller than the sum of its proper divisors (77216647680).

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

27490440960 is a wasteful number, since it uses less digits than its factorization.

27490440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 27490440960 in words is "twenty-seven billion, four hundred ninety million, four hundred forty thousand, nine hundred sixty".