27413406720 has 1320 divisors, whose sum is σ = 121980893760. Its totient is φ = 5852528640.

The previous prime is 27413406707. The next prime is 27413406737. The reversal of 27413406720 is 2760431472.

It is a super-3 number, since 3×27413406720³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 386104285 + ... + 386104355.

It is an arithmetic number, because the mean of its divisors is an integer number (92409768).

Almost surely, 2^27413406720 is an apocalyptic number.

27413406720 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 27413406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60990446880).

27413406720 is an abundant number, since it is smaller than the sum of its proper divisors (94567487040).

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

27413406720 is a wasteful number, since it uses less digits than its factorization.

27413406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 27413406720 in words is "twenty-seven billion, four hundred thirteen million, four hundred six thousand, seven hundred twenty".