479291864985600 has 1248 divisors, whose sum is σ = 1736886333874176. Its totient is φ = 116114168217600.

The previous prime is 479291864985559. The next prime is 479291864985601. The reversal of 479291864985600 is 6589468192974.

It is not an unprimeable number, because it can be changed into a prime (479291864985601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 24540047835 + ... + 24540067365.

Almost surely, 2^{479291864985600} is an apocalyptic number.

479291864985600 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 479291864985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868443166937088).

479291864985600 is an abundant number, since it is smaller than the sum of its proper divisors (1257594468888576).

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

479291864985600 is a wasteful number, since it uses less digits than its factorization.

479291864985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19749 (or 19722 counting only the distinct ones).

The product of its (nonzero) digits is 1881169920, while the sum is 78.

The spelling of 479291864985600 in words is "four hundred seventy-nine trillion, two hundred ninety-one billion, eight hundred sixty-four million, nine hundred eighty-five thousand, six hundred".