475784657856 has 168 divisors, whose sum is σ = 1425893414400. Its totient is φ = 151395746304.

The previous prime is 475784657771. The next prime is 475784657867. The reversal of 475784657856 is 658756487574.

475784657856 is a `hidden beast` number, since 4 + 7 + 5 + 7 + 8 + 46 + 578 + 5 + 6 = 666.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6628045 + ... + 6699443.

It is an arithmetic number, because the mean of its divisors is an integer number (8487460800).

Almost surely, 2^475784657856 is an apocalyptic number.

475784657856 is a gapful number since it is divisible by the number (46) 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 475784657856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712946707200).

475784657856 is an abundant number, since it is smaller than the sum of its proper divisors (950108756544).

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

475784657856 is a wasteful number, since it uses less digits than its factorization.

475784657856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71943 (or 71930 counting only the distinct ones).

The product of its digits is 1580544000, while the sum is 72.

The spelling of 475784657856 in words is "four hundred seventy-five billion, seven hundred eighty-four million, six hundred fifty-seven thousand, eight hundred fifty-six".