16607416320 has 312 divisors, whose sum is σ = 62806228992. Its totient is φ = 4025548800.

The previous prime is 16607416313. The next prime is 16607416381. The reversal of 16607416320 is 2361470661.

It is a happy number.

16607416320 is a `hidden beast` number, since 1 + 6 + 607 + 4 + 16 + 32 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2023425 + ... + 2031615.

It is an arithmetic number, because the mean of its divisors is an integer number (201302016).

Almost surely, 2^16607416320 is an apocalyptic number.

16607416320 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 16607416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31403114496).

16607416320 is an abundant number, since it is smaller than the sum of its proper divisors (46198812672).

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

16607416320 is a wasteful number, since it uses less digits than its factorization.

16607416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8237 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 16607416320 its reverse (2361470661), we get a palindrome (18968886981).

The spelling of 16607416320 in words is "sixteen billion, six hundred seven million, four hundred sixteen thousand, three hundred twenty".