27421744896 has 432 divisors, whose sum is σ = 100471920640. Its totient is φ = 6997155840.

The previous prime is 27421744891. The next prime is 27421744939. The reversal of 27421744896 is 69844712472.

27421744896 is a `hidden beast` number, since 2 + 74 + 21 + 74 + 489 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27421744891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6497475 + ... + 6501693.

Almost surely, 2^27421744896 is an apocalyptic number.

27421744896 is a gapful number since it is divisible by the number (26) 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 27421744896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50235960320).

27421744896 is an abundant number, since it is smaller than the sum of its proper divisors (73050175744).

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

27421744896 is a wasteful number, since it uses less digits than its factorization.

27421744896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292 (or 4275 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 27421744896 in words is "twenty-seven billion, four hundred twenty-one million, seven hundred forty-four thousand, eight hundred ninety-six".