16607335315968 has 640 divisors, whose sum is σ = 52009856870400. Its totient is φ = 5221960482816.

The previous prime is 16607335315951. The next prime is 16607335315999. The reversal of 16607335315968 is 86951353370661.

16607335315968 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 7 + 3 + 3 + 5 + 31 + 596 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7100184943 + ... + 7100187281.

It is an arithmetic number, because the mean of its divisors is an integer number (81265401360).

Almost surely, 2^{16607335315968} is an apocalyptic number.

16607335315968 is a gapful number since it is divisible by the number (18) 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 16607335315968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26004928435200).

16607335315968 is an abundant number, since it is smaller than the sum of its proper divisors (35402521554432).

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

16607335315968 is a wasteful number, since it uses less digits than its factorization.

16607335315968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 16607335315968 in words is "sixteen trillion, six hundred seven billion, three hundred thirty-five million, three hundred fifteen thousand, nine hundred sixty-eight".