16794460800 has 576 divisors, whose sum is σ = 66664066560. Its totient is φ = 3997900800.

The previous prime is 16794460789. The next prime is 16794460849. The reversal of 16794460800 is 806449761.

It is a tau number, because it is divible by the number of its divisors (576).

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11605677 + ... + 11607123.

Almost surely, 2^16794460800 is an apocalyptic number.

16794460800 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 16794460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33332033280).

16794460800 is an abundant number, since it is smaller than the sum of its proper divisors (49869605760).

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

16794460800 is a wasteful number, since it uses less digits than its factorization.

16794460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 16794460800 in words is "sixteen billion, seven hundred ninety-four million, four hundred sixty thousand, eight hundred".