27411664896 has 1040 divisors, whose sum is σ = 108467187840. Its totient is φ = 6688604160.

The previous prime is 27411664873. The next prime is 27411664919. The reversal of 27411664896 is 69846611472.

It is an interprime number because it is at equal distance from previous prime (27411664873) and next prime (27411664919).

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.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 740855790 + ... + 740855826.

Almost surely, 2^27411664896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27411664896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54233593920).

27411664896 is an abundant number, since it is smaller than the sum of its proper divisors (81055522944).

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

27411664896 is a wasteful number, since it uses less digits than its factorization.

27411664896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 89 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 27411664896 in words is "twenty-seven billion, four hundred eleven million, six hundred sixty-four thousand, eight hundred ninety-six".