15768466416 has 120 divisors (see below), whose sum is σ = 47988807984. Its totient is φ = 4813240320.

The previous prime is 15768466393. The next prime is 15768466487. The reversal of 15768466416 is 61466486751.

15768466416 is a `hidden beast` number, since 1 + 576 + 8 + 4 + 6 + 64 + 1 + 6 = 666.

It is a super-2 number, since 2×15768466416² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3531 + ... + 177621.

Almost surely, 2^15768466416 is an apocalyptic number.

15768466416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15768466416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23994403992).

15768466416 is an abundant number, since it is smaller than the sum of its proper divisors (32220341568).

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

15768466416 is a wasteful number, since it uses less digits than its factorization.

15768466416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174159 (or 174150 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 15768466416 in words is "fifteen billion, seven hundred sixty-eight million, four hundred sixty-six thousand, four hundred sixteen".