16920497664 has 480 divisors, whose sum is σ = 60209360640. Its totient is φ = 4464377856.

The previous prime is 16920497651. The next prime is 16920497701. The reversal of 16920497664 is 46679402961.

It is a happy number.

16920497664 is a `hidden beast` number, since 1 + 6 + 92 + 0 + 497 + 6 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 16920497664.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 32352507 + ... + 32353029.

It is an arithmetic number, because the mean of its divisors is an integer number (125436168).

Almost surely, 2^16920497664 is an apocalyptic number.

16920497664 is a gapful number since it is divisible by the number (14) 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 16920497664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30104680320).

16920497664 is an abundant number, since it is smaller than the sum of its proper divisors (43288862976).

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

16920497664 is a wasteful number, since it uses less digits than its factorization.

16920497664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 16920497664 in words is "sixteen billion, nine hundred twenty million, four hundred ninety-seven thousand, six hundred sixty-four".