475348857984 has 1152 divisors, whose sum is σ = 1898789143680. Its totient is φ = 110760099840.

The previous prime is 475348857967. The next prime is 475348858003. The reversal of 475348857984 is 489758843574.

It is a happy number.

475348857984 is a `hidden beast` number, since 4 + 7 + 5 + 3 + 48 + 8 + 579 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 554665684 + ... + 554666540.

It is an arithmetic number, because the mean of its divisors is an integer number (1648254465).

Almost surely, 2^475348857984 is an apocalyptic number.

475348857984 is a gapful number since it is divisible by the number (44) 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 475348857984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949394571840).

475348857984 is an abundant number, since it is smaller than the sum of its proper divisors (1423440285696).

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

475348857984 is a wasteful number, since it uses less digits than its factorization.

475348857984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 930 counting only the distinct ones).

The product of its digits is 1083801600, while the sum is 72.

The spelling of 475348857984 in words is "four hundred seventy-five billion, three hundred forty-eight million, eight hundred fifty-seven thousand, nine hundred eighty-four".