13627461504 has 64 divisors (see below), whose sum is σ = 38103120000. Its totient is φ = 4303406592.

The previous prime is 13627461503. The next prime is 13627461553. The reversal of 13627461504 is 40516472631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13627461503) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 926604 + ... + 941195.

It is an arithmetic number, because the mean of its divisors is an integer number (595361250).

Almost surely, 2^13627461504 is an apocalyptic number.

It is an amenable number.

13627461504 is an abundant number, since it is smaller than the sum of its proper divisors (24475658496).

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

13627461504 is a wasteful number, since it uses less digits than its factorization.

13627461504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867835 (or 1867823 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 13627461504 in words is "thirteen billion, six hundred twenty-seven million, four hundred sixty-one thousand, five hundred four".