27872594640 has 320 divisors, whose sum is σ = 104980423680. Its totient is φ = 6741066240.

The previous prime is 27872594611. The next prime is 27872594671. The reversal of 27872594640 is 4649527872.

27872594640 is a `hidden beast` number, since 2 + 7 + 8 + 7 + 2 + 594 + 6 + 40 = 666.

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

It is a congruent number.

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, 12425359 + ... + 12427601.

It is an arithmetic number, because the mean of its divisors is an integer number (328063824).

Almost surely, 2^27872594640 is an apocalyptic number.

27872594640 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 27872594640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52490211840).

27872594640 is an abundant number, since it is smaller than the sum of its proper divisors (77107829040).

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

27872594640 is a wasteful number, since it uses less digits than its factorization.

27872594640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 27872594640 in words is "twenty-seven billion, eight hundred seventy-two million, five hundred ninety-four thousand, six hundred forty".