27734340018820 has 24 divisors (see below), whose sum is σ = 58242666392064. Its totient is φ = 11093630797536.

The previous prime is 27734340018779. The next prime is 27734340018823. The reversal of 27734340018820 is 2881004343772.

It is not an unprimeable number, because it can be changed into a prime (27734340018823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4396414 + ... + 8648533.

It is an arithmetic number, because the mean of its divisors is an integer number (2426777766336).

Almost surely, 2^{27734340018820} is an apocalyptic number.

27734340018820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27734340018820 is an abundant number, since it is smaller than the sum of its proper divisors (30508326373244).

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

27734340018820 is a wasteful number, since it uses less digits than its factorization.

27734340018820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13151259 (or 13151257 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 49.

The spelling of 27734340018820 in words is "twenty-seven trillion, seven hundred thirty-four billion, three hundred forty million, eighteen thousand, eight hundred twenty".