16476744960 has 432 divisors, whose sum is σ = 61771928400. Its totient is φ = 4030857216.

The previous prime is 16476744941. The next prime is 16476744979. The reversal of 16476744960 is 6944767461.

16476744960 is a `hidden beast` number, since 1 + 6 + 476 + 74 + 49 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (16476744941) and next prime (16476744979).

It can be written as a sum of positive squares in 8 ways, for example, as 1306388736 + 15170356224 = 36144^2 + 123168^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16476744897 and 16476744906.

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, 40285236 + ... + 40285644.

It is an arithmetic number, because the mean of its divisors is an integer number (142990575).

Almost surely, 2^16476744960 is an apocalyptic number.

16476744960 is a gapful number since it is divisible by the number (10) 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 16476744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30885964200).

16476744960 is an abundant number, since it is smaller than the sum of its proper divisors (45295183440).

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

16476744960 is a wasteful number, since it uses less digits than its factorization.

16476744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 16476744960 in words is "sixteen billion, four hundred seventy-six million, seven hundred forty-four thousand, nine hundred sixty".