27432699840 has 1792 divisors, whose sum is σ = 130760663040. Its totient is φ = 5255331840.

The previous prime is 27432699839. The next prime is 27432699841. The reversal of 27432699840 is 4899623472.

27432699840 is a `hidden beast` number, since 27 + 432 + 69 + 98 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (27432699839) and next prime (27432699841).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27432699841) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 669090220 + ... + 669090260.

It is an arithmetic number, because the mean of its divisors is an integer number (72969120).

Almost surely, 2^27432699840 is an apocalyptic number.

27432699840 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 27432699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65380331520).

27432699840 is an abundant number, since it is smaller than the sum of its proper divisors (103327963200).

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

27432699840 is a wasteful number, since it uses less digits than its factorization.

27432699840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 27432699840 in words is "twenty-seven billion, four hundred thirty-two million, six hundred ninety-nine thousand, eight hundred forty".