27348638567040 has 2304 divisors, whose sum is σ = 121410189878400. Its totient is φ = 5799019806720.

The previous prime is 27348638567027. The next prime is 27348638567053. The reversal of 27348638567040 is 4076583684372.

27348638567040 is a `hidden beast` number, since 2 + 7 + 3 + 4 + 8 + 63 + 8 + 567 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27348638567027) and next prime (27348638567053).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17863251075 + ... + 17863252605.

Almost surely, 2^{27348638567040} is an apocalyptic number.

27348638567040 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 27348638567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60705094939200).

27348638567040 is an abundant number, since it is smaller than the sum of its proper divisors (94061551311360).

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

27348638567040 is a wasteful number, since it uses less digits than its factorization.

27348638567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 27348638567040 in words is "twenty-seven trillion, three hundred forty-eight billion, six hundred thirty-eight million, five hundred sixty-seven thousand, forty".