27408375751680 has 3168 divisors, whose sum is σ = 127861963407360. Its totient is φ = 5504960102400.

The previous prime is 27408375751651. The next prime is 27408375751693. The reversal of 27408375751680 is 8615757380472.

It is a happy number.

27408375751680 is a `hidden beast` number, since 2 + 7 + 4 + 0 + 8 + 37 + 5 + 7 + 516 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×27408375751680² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 32667908701 + ... + 32667909539.

Almost surely, 2^{27408375751680} is an apocalyptic number.

27408375751680 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 27408375751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63930981703680).

27408375751680 is an abundant number, since it is smaller than the sum of its proper divisors (100453587655680).

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

27408375751680 is a wasteful number, since it uses less digits than its factorization.

27408375751680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 27408375751680 in words is "twenty-seven trillion, four hundred eight billion, three hundred seventy-five million, seven hundred fifty-one thousand, six hundred eighty".