27646452451904 has 224 divisors, whose sum is σ = 64747202276736. Its totient is φ = 11546863534080.

The previous prime is 27646452451897. The next prime is 27646452451913. The reversal of 27646452451904 is 40915425464672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2948321264 + ... + 2948330640.

It is an arithmetic number, because the mean of its divisors is an integer number (289050010164).

Almost surely, 2^{27646452451904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27646452451904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32373601138368).

27646452451904 is an abundant number, since it is smaller than the sum of its proper divisors (37100749824832).

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

27646452451904 is a wasteful number, since it uses less digits than its factorization.

27646452451904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10853 (or 10843 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 59.

The spelling of 27646452451904 in words is "twenty-seven trillion, six hundred forty-six billion, four hundred fifty-two million, four hundred fifty-one thousand, nine hundred four".