27863447040 has 640 divisors, whose sum is σ = 116317555200. Its totient is φ = 6232965120.

The previous prime is 27863447021. The next prime is 27863447093. The reversal of 27863447040 is 4074436872.

27863447040 is a `hidden beast` number, since 2 + 7 + 8 + 634 + 4 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9882751 + ... + 9885569.

It is an arithmetic number, because the mean of its divisors is an integer number (181746180).

Almost surely, 2^27863447040 is an apocalyptic number.

27863447040 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 27863447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58158777600).

27863447040 is an abundant number, since it is smaller than the sum of its proper divisors (88454108160).

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

27863447040 is a wasteful number, since it uses less digits than its factorization.

27863447040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 27863447040 in words is "twenty-seven billion, eight hundred sixty-three million, four hundred forty-seven thousand, forty".