15742638016704 has 168 divisors, whose sum is σ = 47514432255680. Its totient is φ = 4969675814400.

The previous prime is 15742638016697. The next prime is 15742638016793. The reversal of 15742638016704 is 40761083624751.

15742638016704 is a `hidden beast` number, since 1 + 57 + 426 + 3 + 8 + 0 + 167 + 0 + 4 = 666.

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 23 ways as a sum of consecutive naturals, for example, 32272539 + ... + 32756709.

Almost surely, 2^{15742638016704} 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 15742638016704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23757216127840).

15742638016704 is an abundant number, since it is smaller than the sum of its proper divisors (31771794238976).

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

15742638016704 is a wasteful number, since it uses less digits than its factorization.

15742638016704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487179 (or 487166 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 15742638016704 in words is "fifteen trillion, seven hundred forty-two billion, six hundred thirty-eight million, sixteen thousand, seven hundred four".