27304919040 has 384 divisors, whose sum is σ = 103079208960. Its totient is φ = 6039797760.

The previous prime is 27304919029. The next prime is 27304919041. The reversal of 27304919040 is 4091940372.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 27304919040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27304919041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 880803825 + ... + 880803855.

It is an arithmetic number, because the mean of its divisors is an integer number (268435440).

Almost surely, 2^27304919040 is an apocalyptic number.

27304919040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27304919040 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27304919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51539604480).

27304919040 is an abundant number, since it is smaller than the sum of its proper divisors (75774289920).

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

27304919040 is an frugal number, since it uses more digits than its factorization.

27304919040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 27304919040 in words is "twenty-seven billion, three hundred four million, nine hundred nineteen thousand, forty".