27866964384 has 384 divisors, whose sum is σ = 98354995200. Its totient is φ = 7498552320.

The previous prime is 27866964371. The next prime is 27866964401. The reversal of 27866964384 is 48346966872.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22637049 + ... + 22638279.

It is an arithmetic number, because the mean of its divisors is an integer number (256132800).

Almost surely, 2^27866964384 is an apocalyptic number.

27866964384 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 27866964384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49177497600).

27866964384 is an abundant number, since it is smaller than the sum of its proper divisors (70488030816).

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

27866964384 is a wasteful number, since it uses less digits than its factorization.

27866964384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1459 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 27866964384 in words is "twenty-seven billion, eight hundred sixty-six million, nine hundred sixty-four thousand, three hundred eighty-four".