479001600000 has 2016 divisors, whose sum is σ = 2236136378112. Its totient is φ = 99532800000.

The previous prime is 479001599981. The next prime is 479001600001. The reversal of 479001600000 is 6100974.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479001600001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43545599995 + ... + 43545600005.

It is an arithmetic number, because the mean of its divisors is an integer number (1109194632).

Almost surely, 2^479001600000 is an apocalyptic number.

479001600000 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 479001600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118068189056).

479001600000 is an abundant number, since it is smaller than the sum of its proper divisors (1757134778112).

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

479001600000 is an frugal number, since it uses more digits than its factorization.

479001600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 479001600000 its reverse (6100974), we get a palindrome (479007700974).

The spelling of 479001600000 in words is "four hundred seventy-nine billion, one million, six hundred thousand".