27496480112640 has 3240 divisors, whose sum is σ = 129264787375416. Its totient is φ = 5529246105600.

The previous prime is 27496480112611. The next prime is 27496480112737. The reversal of 27496480112640 is 4621108469472.

27496480112640 is a `hidden beast` number, since 2 + 7 + 4 + 9 + 6 + 480 + 112 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 886983229425 + ... + 886983229455.

Almost surely, 2^{27496480112640} is an apocalyptic number.

27496480112640 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 27496480112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64632393687708).

27496480112640 is an abundant number, since it is smaller than the sum of its proper divisors (101768307262776).

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

27496480112640 is an frugal number, since it uses more digits than its factorization.

27496480112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 27496480112640 in words is "twenty-seven trillion, four hundred ninety-six billion, four hundred eighty million, one hundred twelve thousand, six hundred forty".