27963291840 has 448 divisors, whose sum is σ = 104522503680. Its totient is φ = 6257704960.

The previous prime is 27963291827. The next prime is 27963291871. The reversal of 27963291840 is 4819236972.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9513091 + ... + 9516029.

It is an arithmetic number, because the mean of its divisors is an integer number (233309160).

Almost surely, 2^27963291840 is an apocalyptic number.

27963291840 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 27963291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52261251840).

27963291840 is an abundant number, since it is smaller than the sum of its proper divisors (76559211840).

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

27963291840 is a wasteful number, since it uses less digits than its factorization.

27963291840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 27963291840 in words is "twenty-seven billion, nine hundred sixty-three million, two hundred ninety-one thousand, eight hundred forty".