27891464832 has 1280 divisors, whose sum is σ = 113743872000. Its totient is φ = 6706022400.

The previous prime is 27891464813. The next prime is 27891464833. The reversal of 27891464832 is 23846419872.

27891464832 is a `hidden beast` number, since 2 + 78 + 91 + 4 + 6 + 483 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (4644864) is a multiple of the sum of its prime factors (112).

It is not an unprimeable number, because it can be changed into a prime (27891464833) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 899724657 + ... + 899724687.

It is an arithmetic number, because the mean of its divisors is an integer number (88862400).

Almost surely, 2^27891464832 is an apocalyptic number.

27891464832 is a gapful number since it is divisible by the number (22) 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 27891464832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56871936000).

27891464832 is an abundant number, since it is smaller than the sum of its proper divisors (85852407168).

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

27891464832 is a wasteful number, since it uses less digits than its factorization.

27891464832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 27891464832 in words is "twenty-seven billion, eight hundred ninety-one million, four hundred sixty-four thousand, eight hundred thirty-two".