27764720370 has 96 divisors (see below), whose sum is σ = 73145912112. Its totient is φ = 7306285056.

The previous prime is 27764720359. The next prime is 27764720383. The reversal of 27764720370 is 7302746772.

27764720370 is a `hidden beast` number, since 277 + 6 + 4 + 7 + 2 + 0 + 370 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 471367521 + 27293352849 = 21711^2 + 165207^2 .

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 47 ways as a sum of consecutive naturals, for example, 2363752 + ... + 2375468.

Almost surely, 2^27764720370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27764720370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36572956056).

27764720370 is an abundant number, since it is smaller than the sum of its proper divisors (45381191742).

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

27764720370 is a wasteful number, since it uses less digits than its factorization.

27764720370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12076 (or 12073 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 45.

The spelling of 27764720370 in words is "twenty-seven billion, seven hundred sixty-four million, seven hundred twenty thousand, three hundred seventy".