27330775920 has 640 divisors, whose sum is σ = 111291924480. Its totient is φ = 6035420160.

The previous prime is 27330775919. The next prime is 27330775933. The reversal of 27330775920 is 2957703372.

27330775920 is a `hidden beast` number, since 27 + 3 + 30 + 7 + 7 + 592 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 82570155 + ... + 82570485.

It is an arithmetic number, because the mean of its divisors is an integer number (173893632).

Almost surely, 2^27330775920 is an apocalyptic number.

27330775920 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 27330775920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55645962240).

27330775920 is an abundant number, since it is smaller than the sum of its proper divisors (83961148560).

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

27330775920 is a wasteful number, since it uses less digits than its factorization.

27330775920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The spelling of 27330775920 in words is "twenty-seven billion, three hundred thirty million, seven hundred seventy-five thousand, nine hundred twenty".