27642867840 has 384 divisors, whose sum is σ = 113889283200. Its totient is φ = 6318176256.

The previous prime is 27642867827. The next prime is 27642867841. The reversal of 27642867840 is 4876824672.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (27642867841) 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, 830397 + ... + 863043.

It is an arithmetic number, because the mean of its divisors is an integer number (296586675).

Almost surely, 2^27642867840 is an apocalyptic number.

27642867840 is a gapful number since it is divisible by the number (20) 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 27642867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56944641600).

27642867840 is an abundant number, since it is smaller than the sum of its proper divisors (86246415360).

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

27642867840 is a wasteful number, since it uses less digits than its factorization.

27642867840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32689 (or 32664 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 27642867840 in words is "twenty-seven billion, six hundred forty-two million, eight hundred sixty-seven thousand, eight hundred forty".