27696240000 has 960 divisors, whose sum is σ = 117437720400. Its totient is φ = 6174720000.

The previous prime is 27696239951. The next prime is 27696240067. The reversal of 27696240000 is 4269672.

It is a happy number.

27696240000 is a `hidden beast` number, since 27 + 6 + 9 + 624 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 102959866 + ... + 102960134.

Almost surely, 2^27696240000 is an apocalyptic number.

27696240000 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 27696240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58718860200).

27696240000 is an abundant number, since it is smaller than the sum of its proper divisors (89741480400).

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

27696240000 is a wasteful number, since it uses less digits than its factorization.

27696240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 27696240000 in words is "twenty-seven billion, six hundred ninety-six million, two hundred forty thousand".