27734732544 has 144 divisors (see below), whose sum is σ = 75658349312. Its totient is φ = 9016786944.

The previous prime is 27734732537. The next prime is 27734732561. The reversal of 27734732544 is 44523743772.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 27734732493 and 27734732502.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5297352 + ... + 5302584.

Almost surely, 2^27734732544 is an apocalyptic number.

27734732544 is a gapful number since it is divisible by the number (24) 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 27734732544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37829174656).

27734732544 is an abundant number, since it is smaller than the sum of its proper divisors (47923616768).

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

27734732544 is a wasteful number, since it uses less digits than its factorization.

27734732544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5422 (or 5408 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 48.

The spelling of 27734732544 in words is "twenty-seven billion, seven hundred thirty-four million, seven hundred thirty-two thousand, five hundred forty-four".