477821731968 has 896 divisors, whose sum is σ = 1775249550720. Its totient is φ = 124909682688.

The previous prime is 477821731949. The next prime is 477821731987. The reversal of 477821731968 is 869137128774.

477821731968 is a `hidden beast` number, since 47 + 7 + 8 + 217 + 319 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (477821731949) and next prime (477821731987).

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 410852155 + ... + 410853317.

Almost surely, 2^477821731968 is an apocalyptic number.

477821731968 is a gapful number since it is divisible by the number (48) 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 477821731968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887624775360).

477821731968 is an abundant number, since it is smaller than the sum of its proper divisors (1297427818752).

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

477821731968 is a wasteful number, since it uses less digits than its factorization.

477821731968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1229 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 63.

The spelling of 477821731968 in words is "four hundred seventy-seven billion, eight hundred twenty-one million, seven hundred thirty-one thousand, nine hundred sixty-eight".