16953679776 has 432 divisors, whose sum is σ = 53378922240. Its totient is φ = 4702156800.

The previous prime is 16953679747. The next prime is 16953679781. The reversal of 16953679776 is 67797635961.

16953679776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×16953679776⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 190490740 + ... + 190490828.

It is an arithmetic number, because the mean of its divisors is an integer number (123562320).

Almost surely, 2^16953679776 is an apocalyptic number.

16953679776 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 16953679776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26689461120).

16953679776 is an abundant number, since it is smaller than the sum of its proper divisors (36425242464).

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

16953679776 is a wasteful number, since it uses less digits than its factorization.

16953679776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 159 counting only the distinct ones).

The product of its digits is 90016920, while the sum is 66.

The spelling of 16953679776 in words is "sixteen billion, nine hundred fifty-three million, six hundred seventy-nine thousand, seven hundred seventy-six".