27456256736832 has 896 divisors, whose sum is σ = 97818344091648. Its totient is φ = 6578719948800.

The previous prime is 27456256736813. The next prime is 27456256736851. The reversal of 27456256736832 is 23863765265472.

27456256736832 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (27456256736813) and next prime (27456256736851).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2990547282 + ... + 2990556462.

Almost surely, 2^{27456256736832} is an apocalyptic number.

27456256736832 is a gapful number since it is divisible by the number (22) 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 27456256736832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48909172045824).

27456256736832 is an abundant number, since it is smaller than the sum of its proper divisors (70362087354816).

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

27456256736832 is a wasteful number, since it uses less digits than its factorization.

27456256736832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9467 (or 9457 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 66.

The spelling of 27456256736832 in words is "twenty-seven trillion, four hundred fifty-six billion, two hundred fifty-six million, seven hundred thirty-six thousand, eight hundred thirty-two".