16477344000 has 864 divisors, whose sum is σ = 66622168704. Its totient is φ = 4031078400.

The previous prime is 16477343947. The next prime is 16477344001. The reversal of 16477344000 is 44377461.

It is a happy number.

16477344000 is a `hidden beast` number, since 1 + 647 + 7 + 3 + 4 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16477344001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101087919 + ... + 101088081.

Almost surely, 2^16477344000 is an apocalyptic number.

16477344000 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 16477344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33311084352).

16477344000 is an abundant number, since it is smaller than the sum of its proper divisors (50144824704).

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

16477344000 is an equidigital number, since it uses as much as digits as its factorization.

16477344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 16477344000 in words is "sixteen billion, four hundred seventy-seven million, three hundred forty-four thousand".