16792828416 has 480 divisors, whose sum is σ = 62304137280. Its totient is φ = 4426555392.

The previous prime is 16792828373. The next prime is 16792828427. The reversal of 16792828416 is 61482829761.

It is a happy number.

16792828416 is a `hidden beast` number, since 1 + 67 + 92 + 82 + 8 + 416 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 8804935 + ... + 8806841.

It is an arithmetic number, because the mean of its divisors is an integer number (129800286).

Almost surely, 2^16792828416 is an apocalyptic number.

16792828416 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 16792828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31152068640).

16792828416 is an abundant number, since it is smaller than the sum of its proper divisors (45511308864).

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

16792828416 is a wasteful number, since it uses less digits than its factorization.

16792828416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1932 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 16792828416 in words is "sixteen billion, seven hundred ninety-two million, eight hundred twenty-eight thousand, four hundred sixteen".