27709440000 has 640 divisors, whose sum is σ = 103184595360. Its totient is φ = 6553600000.

The previous prime is 27709439987. The next prime is 27709440007. The reversal of 27709440000 is 4490772.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×27709440000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27709440007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 675839980 + ... + 675840020.

Almost surely, 2^27709440000 is an apocalyptic number.

27709440000 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 27709440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51592297680).

27709440000 is an abundant number, since it is smaller than the sum of its proper divisors (75475155360).

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

27709440000 is an frugal number, since it uses more digits than its factorization.

27709440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 27709440000 in words is "twenty-seven billion, seven hundred nine million, four hundred forty thousand".