16872416640 has 320 divisors, whose sum is σ = 60527142720. Its totient is φ = 4478976000.

The previous prime is 16872416633. The next prime is 16872416677. The reversal of 16872416640 is 4661427861.

16872416640 is a `hidden beast` number, since 168 + 72 + 416 + 6 + 4 + 0 = 666.

16872416640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 14048040 + ... + 14049240.

It is an arithmetic number, because the mean of its divisors is an integer number (189147321).

Almost surely, 2^16872416640 is an apocalyptic number.

16872416640 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 16872416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30263571360).

16872416640 is an abundant number, since it is smaller than the sum of its proper divisors (43654726080).

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

16872416640 is a wasteful number, since it uses less digits than its factorization.

16872416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 16872416640 in words is "sixteen billion, eight hundred seventy-two million, four hundred sixteen thousand, six hundred forty".