16976010240 has 704 divisors, whose sum is σ = 70461342720. Its totient is φ = 3795517440.

The previous prime is 16976010197. The next prime is 16976010253. The reversal of 16976010240 is 4201067961.

16976010240 is a `hidden beast` number, since 1 + 6 + 9 + 7 + 601 + 0 + 2 + 40 = 666.

16976010240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16976010195 and 16976010204.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 51286875 + ... + 51287205.

Almost surely, 2^16976010240 is an apocalyptic number.

16976010240 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 16976010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35230671360).

16976010240 is an abundant number, since it is smaller than the sum of its proper divisors (53485332480).

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

16976010240 is a wasteful number, since it uses less digits than its factorization.

16976010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 16976010240 in words is "sixteen billion, nine hundred seventy-six million, ten thousand, two hundred forty".