479843542080 has 896 divisors, whose sum is σ = 1968292085760. Its totient is φ = 107787386880.

The previous prime is 479843542049. The next prime is 479843542141. The reversal of 479843542080 is 80245348974.

479843542080 is a `hidden beast` number, since 4 + 7 + 9 + 84 + 354 + 208 + 0 = 666.

479843542080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1542905125 + ... + 1542905435.

It is an arithmetic number, because the mean of its divisors is an integer number (2196754560).

Almost surely, 2^479843542080 is an apocalyptic number.

479843542080 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 479843542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984146042880).

479843542080 is an abundant number, since it is smaller than the sum of its proper divisors (1488448543680).

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

479843542080 is a wasteful number, since it uses less digits than its factorization.

479843542080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 479843542080 in words is "four hundred seventy-nine billion, eight hundred forty-three million, five hundred forty-two thousand, eighty".