27349734504960 has 2880 divisors, whose sum is σ = 120845977933824. Its totient is φ = 5681597644800.

The previous prime is 27349734504949. The next prime is 27349734504979. The reversal of 27349734504960 is 6940543794372.

It is a happy number.

27349734504960 is a `hidden beast` number, since 2 + 7 + 3 + 4 + 9 + 7 + 34 + 504 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 49101857002 + ... + 49101857558.

Almost surely, 2^{27349734504960} is an apocalyptic number.

27349734504960 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 27349734504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60422988966912).

27349734504960 is an abundant number, since it is smaller than the sum of its proper divisors (93496243428864).

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

27349734504960 is a wasteful number, since it uses less digits than its factorization.

27349734504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 27349734504960 in words is "twenty-seven trillion, three hundred forty-nine billion, seven hundred thirty-four million, five hundred four thousand, nine hundred sixty".