16390176768 has 480 divisors, whose sum is σ = 57040793600. Its totient is φ = 4554620928.

The previous prime is 16390176667. The next prime is 16390176791. The reversal of 16390176768 is 86767109361.

It is a happy number.

16390176768 is a `hidden beast` number, since 16 + 390 + 176 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 16390176768 = 540³ + 2532³ = 2000³ + 2032³.

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, 207470553 + ... + 207470631.

Almost surely, 2^16390176768 is an apocalyptic number.

16390176768 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 16390176768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28520396800).

16390176768 is an abundant number, since it is smaller than the sum of its proper divisors (40650616832).

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

16390176768 is an frugal number, since it uses more digits than its factorization.

16390176768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 16390176768 in words is "sixteen billion, three hundred ninety million, one hundred seventy-six thousand, seven hundred sixty-eight".