16776806400 has 720 divisors, whose sum is σ = 64847203680. Its totient is φ = 4246732800.

The previous prime is 16776806383. The next prime is 16776806419. The reversal of 16776806400 is 460867761.

16776806400 is a `hidden beast` number, since 167 + 7 + 6 + 80 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×16776806400² (a number of 21 digits) contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409190380 + ... + 409190420.

Almost surely, 2^16776806400 is an apocalyptic number.

16776806400 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 16776806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32423601840).

16776806400 is an abundant number, since it is smaller than the sum of its proper divisors (48070397280).

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

16776806400 is an equidigital number, since it uses as much as digits as its factorization.

16776806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 16776806400 in words is "sixteen billion, seven hundred seventy-six million, eight hundred six thousand, four hundred".