27313000740 has 288 divisors, whose sum is σ = 89232998400. Its totient is φ = 7005398400.

The previous prime is 27313000739. The next prime is 27313000769. The reversal of 27313000740 is 4700031372.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29980885 + ... + 29981795.

It is an arithmetic number, because the mean of its divisors is an integer number (309836800).

Almost surely, 2^27313000740 is an apocalyptic number.

27313000740 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 27313000740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44616499200).

27313000740 is an abundant number, since it is smaller than the sum of its proper divisors (61919997660).

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

27313000740 is a wasteful number, since it uses less digits than its factorization.

27313000740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The spelling of 27313000740 in words is "twenty-seven billion, three hundred thirteen million, seven hundred forty", and thus it is an aban number.