16640769600 has 1680 divisors, whose sum is σ = 80671586688. Its totient is φ = 3264675840.

The previous prime is 16640769557. The next prime is 16640769619. The reversal of 16640769600 is 696704661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 200491159 + ... + 200491241.

Almost surely, 2^16640769600 is an apocalyptic number.

16640769600 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 16640769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40335793344).

16640769600 is an abundant number, since it is smaller than the sum of its proper divisors (64030817088).

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

16640769600 is a wasteful number, since it uses less digits than its factorization.

16640769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 16640769600 in words is "sixteen billion, six hundred forty million, seven hundred sixty-nine thousand, six hundred".