916944364800 has 1080 divisors, whose sum is σ = 3535734011040. Its totient is φ = 235146240000.

The previous prime is 916944364783. The next prime is 916944364807. The reversal of 916944364800 is 8463449619.

It is a happy number.

916944364800 is a `hidden beast` number, since 9 + 1 + 69 + 443 + 64 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916944364807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3653164675 + ... + 3653164925.

It is an arithmetic number, because the mean of its divisors is an integer number (3273827788).

Almost surely, 2^916944364800 is an apocalyptic number.

916944364800 is a gapful number since it is divisible by the number (90) 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 916944364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767867005520).

916944364800 is an abundant number, since it is smaller than the sum of its proper divisors (2618789646240).

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

916944364800 is an frugal number, since it uses more digits than its factorization.

916944364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 916944364800 in words is "nine hundred sixteen billion, nine hundred forty-four million, three hundred sixty-four thousand, eight hundred".