27341310356640 has 4608 divisors, whose sum is σ = 129848102092800. Its totient is φ = 5282325135360.

The previous prime is 27341310356593. The next prime is 27341310356663. The reversal of 27341310356640 is 4665301314372.

27341310356640 is a `hidden beast` number, since 2 + 7 + 3 + 41 + 3 + 1 + 0 + 3 + 566 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 767 ways as a sum of consecutive naturals, for example, 215285908257 + ... + 215285908383.

It is an arithmetic number, because the mean of its divisors is an integer number (28178841600).

Almost surely, 2^{27341310356640} is an apocalyptic number.

27341310356640 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 27341310356640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64924051046400).

27341310356640 is an abundant number, since it is smaller than the sum of its proper divisors (102506791736160).

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

27341310356640 is a wasteful number, since it uses less digits than its factorization.

27341310356640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 27341310356640 in words is "twenty-seven trillion, three hundred forty-one billion, three hundred ten million, three hundred fifty-six thousand, six hundred forty".