27900283464 has 160 divisors (see below), whose sum is σ = 80989539840. Its totient is φ = 8964172800.

The previous prime is 27900283457. The next prime is 27900283493. The reversal of 27900283464 is 46438200972.

27900283464 is a `hidden beast` number, since 27 + 90 + 0 + 2 + 83 + 464 = 666.

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 39 ways as a sum of consecutive naturals, for example, 5280504 + ... + 5285784.

It is an arithmetic number, because the mean of its divisors is an integer number (506184624).

Almost surely, 2^27900283464 is an apocalyptic number.

27900283464 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 27900283464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40494769920).

27900283464 is an abundant number, since it is smaller than the sum of its proper divisors (53089256376).

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

27900283464 is a wasteful number, since it uses less digits than its factorization.

27900283464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5593 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

It can be divided in two parts, 27900 and 283464, that added together give a square (311364 = 558²).

The spelling of 27900283464 in words is "twenty-seven billion, nine hundred million, two hundred eighty-three thousand, four hundred sixty-four".