27724077360 has 800 divisors, whose sum is σ = 117772997760. Its totient is φ = 5900304384.

The previous prime is 27724077301. The next prime is 27724077371. The reversal of 27724077360 is 6377042772.

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 (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 121065726 + ... + 121065954.

Almost surely, 2^27724077360 is an apocalyptic number.

27724077360 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 27724077360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58886498880).

27724077360 is an abundant number, since it is smaller than the sum of its proper divisors (90048920400).

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

27724077360 is a wasteful number, since it uses less digits than its factorization.

27724077360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 420 counting only the distinct ones).

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

The spelling of 27724077360 in words is "twenty-seven billion, seven hundred twenty-four million, seventy-seven thousand, three hundred sixty".