27642587904 has 576 divisors, whose sum is σ = 90420019200. Its totient is φ = 8302694400.

The previous prime is 27642587897. The next prime is 27642587941. The reversal of 27642587904 is 40978524672.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×27642587904² (a number of 22 digits) contains 22 as substring.

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

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, 349906137 + ... + 349906215.

It is an arithmetic number, because the mean of its divisors is an integer number (156979200).

Almost surely, 2^27642587904 is an apocalyptic number.

27642587904 is a gapful number since it is divisible by the number (24) 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 27642587904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45210009600).

27642587904 is an abundant number, since it is smaller than the sum of its proper divisors (62777431296).

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

27642587904 is a wasteful number, since it uses less digits than its factorization.

27642587904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

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

The spelling of 27642587904 in words is "twenty-seven billion, six hundred forty-two million, five hundred eighty-seven thousand, nine hundred four".