27749802306720 has 768 divisors, whose sum is σ = 108303968747520. Its totient is φ = 5894066995200.

The previous prime is 27749802306673. The next prime is 27749802306731. The reversal of 27749802306720 is 2760320894772.

It is a happy number.

It is a super-3 number, since 3×27749802306720³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62259055 + ... + 62703185.

It is an arithmetic number, because the mean of its divisors is an integer number (141020792640).

Almost surely, 2^{27749802306720} is an apocalyptic number.

27749802306720 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 27749802306720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54151984373760).

27749802306720 is an abundant number, since it is smaller than the sum of its proper divisors (80554166440800).

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

27749802306720 is a wasteful number, since it uses less digits than its factorization.

27749802306720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444229 (or 444221 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 57.

The spelling of 27749802306720 in words is "twenty-seven trillion, seven hundred forty-nine billion, eight hundred two million, three hundred six thousand, seven hundred twenty".