27694068480 has 576 divisors, whose sum is σ = 107282528640. Its totient is φ = 6808043520.

The previous prime is 27694068463. The next prime is 27694068481. The reversal of 27694068480 is 8486049672.

27694068480 is a `hidden beast` number, since 2 + 7 + 69 + 40 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×27694068480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (27694068481) 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, 36391300 + ... + 36392060.

It is an arithmetic number, because the mean of its divisors is an integer number (186254390).

Almost surely, 2^27694068480 is an apocalyptic number.

27694068480 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 27694068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53641264320).

27694068480 is an abundant number, since it is smaller than the sum of its proper divisors (79588460160).

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

27694068480 is an frugal number, since it uses more digits than its factorization.

27694068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 27694068480 in words is "twenty-seven billion, six hundred ninety-four million, sixty-eight thousand, four hundred eighty".