16921419768 has 192 divisors, whose sum is σ = 51325747200. Its totient is φ = 4993021440.

The previous prime is 16921419751. The next prime is 16921419791. The reversal of 16921419768 is 86791412961.

16921419768 is a `hidden beast` number, since 169 + 2 + 1 + 419 + 7 + 68 = 666.

It is a super-2 number, since 2×16921419768² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4720905 + ... + 4724487.

It is an arithmetic number, because the mean of its divisors is an integer number (267321600).

Almost surely, 2^16921419768 is an apocalyptic number.

16921419768 is a gapful number since it is divisible by the number (18) 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 16921419768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25662873600).

16921419768 is an abundant number, since it is smaller than the sum of its proper divisors (34404327432).

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

16921419768 is a wasteful number, since it uses less digits than its factorization.

16921419768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762 (or 3755 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 16921419768 in words is "sixteen billion, nine hundred twenty-one million, four hundred nineteen thousand, seven hundred sixty-eight".