27769323840 has 448 divisors, whose sum is σ = 97364336640. Its totient is φ = 6678650880.

The previous prime is 27769323823. The next prime is 27769323853. The reversal of 27769323840 is 4832396772.

It is a super-2 number, since 2×27769323840² (a number of 22 digits) contains 22 as substring.

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, 37884114 + ... + 37884846.

Almost surely, 2^27769323840 is an apocalyptic number.

27769323840 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 27769323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48682168320).

27769323840 is an abundant number, since it is smaller than the sum of its proper divisors (69595012800).

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

27769323840 is a wasteful number, since it uses less digits than its factorization.

27769323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 27769323840 in words is "twenty-seven billion, seven hundred sixty-nine million, three hundred twenty-three thousand, eight hundred forty".