27796413600 has 180 divisors, whose sum is σ = 101368351854. Its totient is φ = 7412359680.

The previous prime is 27796413569. The next prime is 27796413613. The reversal of 27796413600 is 631469772.

27796413600 is a `hidden beast` number, since 27 + 7 + 9 + 6 + 4 + 13 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 21988144656 + 5808268944 = 148284^2 + 76212^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 149679 + ... + 279278.

Almost surely, 2^27796413600 is an apocalyptic number.

27796413600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27796413600 is an abundant number, since it is smaller than the sum of its proper divisors (73571938254).

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

27796413600 is a wasteful number, since it uses less digits than its factorization.

27796413600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428989 (or 428967 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 27796413600 in words is "twenty-seven billion, seven hundred ninety-six million, four hundred thirteen thousand, six hundred".