477755984000 has 128 divisors (see below), whose sum is σ = 1195798734000. Its totient is φ = 189818880000.

The previous prime is 477755983993. The next prime is 477755984021. The reversal of 477755984000 is 489557774.

It can be written as a sum of positive squares in 8 ways, for example, as 5874915904 + 471881068096 = 76648^2 + 686936^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2283800 + ... + 2484200.

Almost surely, 2^477755984000 is an apocalyptic number.

477755984000 is a gapful number since it is divisible by the number (40) 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 477755984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597899367000).

477755984000 is an abundant number, since it is smaller than the sum of its proper divisors (718042750000).

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

477755984000 is a wasteful number, since it uses less digits than its factorization.

477755984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200579 (or 200557 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 56.

The spelling of 477755984000 in words is "four hundred seventy-seven billion, seven hundred fifty-five million, nine hundred eighty-four thousand".