479932231680 has 936 divisors, whose sum is σ = 1898646409296. Its totient is φ = 116201226240.

The previous prime is 479932231657. The next prime is 479932231711. The reversal of 479932231680 is 86132239974.

479932231680 is a `hidden beast` number, since 479 + 9 + 3 + 2 + 2 + 3 + 168 + 0 = 666.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 602173042 + ... + 602173838.

It is an arithmetic number, because the mean of its divisors is an integer number (2028468386).

Almost surely, 2^479932231680 is an apocalyptic number.

479932231680 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 479932231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949323204648).

479932231680 is an abundant number, since it is smaller than the sum of its proper divisors (1418714177616).

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

479932231680 is an equidigital number, since it uses as much as digits as its factorization.

479932231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 479932231680 in words is "four hundred seventy-nine billion, nine hundred thirty-two million, two hundred thirty-one thousand, six hundred eighty".