479294599680 has 1440 divisors, whose sum is σ = 1923298401024. Its totient is φ = 114279579648.

The previous prime is 479294599669. The next prime is 479294599747. The reversal of 479294599680 is 86995492974.

479294599680 is a `hidden beast` number, since 4 + 7 + 9 + 2 + 9 + 459 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×479294599680² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 479294599599 and 479294599608.

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 143 ways as a sum of consecutive naturals, for example, 4941181392 + ... + 4941181488.

Almost surely, 2^479294599680 is an apocalyptic number.

479294599680 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 479294599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961649200512).

479294599680 is an abundant number, since it is smaller than the sum of its proper divisors (1444003801344).

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

479294599680 is an equidigital number, since it uses as much as digits as its factorization.

479294599680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 479294599680 in words is "four hundred seventy-nine billion, two hundred ninety-four million, five hundred ninety-nine thousand, six hundred eighty".