27345790080 has 512 divisors, whose sum is σ = 111182284800. Its totient is φ = 6222458880.

The previous prime is 27345790063. The next prime is 27345790081. The reversal of 27345790080 is 8009754372.

27345790080 is a `hidden beast` number, since 2 + 73 + 4 + 579 + 0 + 0 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (27345790081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40037419 + ... + 40038101.

It is an arithmetic number, because the mean of its divisors is an integer number (217152900).

Almost surely, 2^27345790080 is an apocalyptic number.

27345790080 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 27345790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55591142400).

27345790080 is an abundant number, since it is smaller than the sum of its proper divisors (83836494720).

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

27345790080 is a wasteful number, since it uses less digits than its factorization.

27345790080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 27345790080 in words is "twenty-seven billion, three hundred forty-five million, seven hundred ninety thousand, eighty".