479031643865088 has 1280 divisors, whose sum is σ = 1575298549440000. Its totient is φ = 143180653658112.

The previous prime is 479031643865083. The next prime is 479031643865129. The reversal of 479031643865088 is 880568346130974.

479031643865088 is a `hidden beast` number, since 4 + 7 + 9 + 0 + 3 + 164 + 386 + 5 + 0 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479031643865081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 579240197731 + ... + 579240198557.

It is an arithmetic number, because the mean of its divisors is an integer number (1230701991750).

Almost surely, 2^{479031643865088} is an apocalyptic number.

479031643865088 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 479031643865088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787649274720000).

479031643865088 is an abundant number, since it is smaller than the sum of its proper divisors (1096266905574912).

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

479031643865088 is an frugal number, since it uses more digits than its factorization.

479031643865088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 479031643865088 in words is "four hundred seventy-nine trillion, thirty-one billion, six hundred forty-three million, eight hundred sixty-five thousand, eighty-eight".