16804756800 has 672 divisors, whose sum is σ = 68893090560. Its totient is φ = 3953664000.

The previous prime is 16804756789. The next prime is 16804756807. The reversal of 16804756800 is 865740861.

It is a happy number.

16804756800 is a `hidden beast` number, since 1 + 6 + 80 + 4 + 7 + 568 + 0 + 0 = 666.

It is a super-2 number, since 2×16804756800² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16804756807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12916150 + ... + 12917450.

It is an arithmetic number, because the mean of its divisors is an integer number (102519480).

Almost surely, 2^16804756800 is an apocalyptic number.

16804756800 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 16804756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34446545280).

16804756800 is an abundant number, since it is smaller than the sum of its proper divisors (52088333760).

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

16804756800 is a wasteful number, since it uses less digits than its factorization.

16804756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 16804756800 in words is "sixteen billion, eight hundred four million, seven hundred fifty-six thousand, eight hundred".