13670346624 has 128 divisors (see below), whose sum is σ = 39903770880. Its totient is φ = 4112117760.

The previous prime is 13670346619. The next prime is 13670346691. The reversal of 13670346624 is 42664307631.

13670346624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566877 + ... + 590499.

It is an arithmetic number, because the mean of its divisors is an integer number (311748210).

Almost surely, 2^13670346624 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 13670346624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19951885440).

13670346624 is an abundant number, since it is smaller than the sum of its proper divisors (26233424256).

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

13670346624 is a wasteful number, since it uses less digits than its factorization.

13670346624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23788 (or 23776 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 13670346624 in words is "thirteen billion, six hundred seventy million, three hundred forty-six thousand, six hundred twenty-four".