15766468646768 has 160 divisors (see below), whose sum is σ = 36805728568320. Its totient is φ = 6396551884800.

The previous prime is 15766468646759. The next prime is 15766468646809. The reversal of 15766468646768 is 86764686466751.

It is a junction number, because it is equal to n+sod(n) for n = 15766468646692 and 15766468646701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678787571 + ... + 678810797.

It is an arithmetic number, because the mean of its divisors is an integer number (230035803552).

Almost surely, 2^{15766468646768} 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 15766468646768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18402864284160).

15766468646768 is an abundant number, since it is smaller than the sum of its proper divisors (21039259921552).

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

15766468646768 is a wasteful number, since it uses less digits than its factorization.

15766468646768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25975 (or 25969 counting only the distinct ones).

The product of its digits is 11705057280, while the sum is 80.

The spelling of 15766468646768 in words is "fifteen trillion, seven hundred sixty-six billion, four hundred sixty-eight million, six hundred forty-six thousand, seven hundred sixty-eight".