479586032640 has 1056 divisors, whose sum is σ = 1980997776576. Its totient is φ = 105743646720.

The previous prime is 479586032623. The next prime is 479586032647. The reversal of 479586032640 is 46230685974.

479586032640 is a `hidden beast` number, since 4 + 7 + 9 + 5 + 8 + 603 + 26 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479586032647) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 481028622 + ... + 481029618.

Almost surely, 2^479586032640 is an apocalyptic number.

479586032640 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 479586032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990498888288).

479586032640 is an abundant number, since it is smaller than the sum of its proper divisors (1501411743936).

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

479586032640 is a wasteful number, since it uses less digits than its factorization.

479586032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 479586032640 in words is "four hundred seventy-nine billion, five hundred eighty-six million, thirty-two thousand, six hundred forty".