479129333760 has 2080 divisors, whose sum is σ = 2228715270144. Its totient is φ = 96347750400.

The previous prime is 479129333681. The next prime is 479129333773. The reversal of 479129333760 is 67333921974.

479129333760 is a `hidden beast` number, since 479 + 12 + 93 + 3 + 3 + 76 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 479129333697 and 479129333706.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 15455784945 + ... + 15455784975.

Almost surely, 2^479129333760 is an apocalyptic number.

479129333760 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 479129333760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114357635072).

479129333760 is an abundant number, since it is smaller than the sum of its proper divisors (1749585936384).

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

479129333760 is an equidigital number, since it uses as much as digits as its factorization.

479129333760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 479129333760 in words is "four hundred seventy-nine billion, one hundred twenty-nine million, three hundred thirty-three thousand, seven hundred sixty".