27072536448 has 128 divisors (see below), whose sum is σ = 76237770240. Its totient is φ = 8482611200.

The previous prime is 27072536417. The next prime is 27072536473. The reversal of 27072536448 is 84463527072.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×27072536448³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 27072536397 and 27072536406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6336553 + ... + 6340823.

It is an arithmetic number, because the mean of its divisors is an integer number (595607580).

Almost surely, 2^27072536448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27072536448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38118885120).

27072536448 is an abundant number, since it is smaller than the sum of its proper divisors (49165233792).

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

27072536448 is a wasteful number, since it uses less digits than its factorization.

27072536448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5276 (or 5264 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 27072536448 in words is "twenty-seven billion, seventy-two million, five hundred thirty-six thousand, four hundred forty-eight".