27214830720 has 768 divisors, whose sum is σ = 119973934080. Its totient is φ = 5519646720.

The previous prime is 27214830691. The next prime is 27214830743. The reversal of 27214830720 is 2703841272.

It is a super-2 number, since 2×27214830720² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19070647 + ... + 19072073.

It is an arithmetic number, because the mean of its divisors is an integer number (156216060).

Almost surely, 2^27214830720 is an apocalyptic number.

27214830720 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 27214830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59986967040).

27214830720 is an abundant number, since it is smaller than the sum of its proper divisors (92759103360).

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

27214830720 is a wasteful number, since it uses less digits than its factorization.

27214830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 27214830720 in words is "twenty-seven billion, two hundred fourteen million, eight hundred thirty thousand, seven hundred twenty".