27813776353464 has 32 divisors (see below), whose sum is σ = 69534613549440. Its totient is φ = 9271235762400.

The previous prime is 27813776353381. The next prime is 27813776353513. The reversal of 27813776353464 is 46435367731872.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27813776353395 and 27813776353404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10423309 + ... + 12816899.

It is an arithmetic number, because the mean of its divisors is an integer number (2172956673420).

Almost surely, 2^{27813776353464} is an apocalyptic number.

27813776353464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27813776353464 is an abundant number, since it is smaller than the sum of its proper divisors (41720837195976).

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

27813776353464 is a wasteful number, since it uses less digits than its factorization.

27813776353464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877771 (or 2877767 counting only the distinct ones).

The product of its digits is 426746880, while the sum is 66.

The spelling of 27813776353464 in words is "twenty-seven trillion, eight hundred thirteen billion, seven hundred seventy-six million, three hundred fifty-three thousand, four hundred sixty-four".