479029840640 has 576 divisors, whose sum is σ = 1351796947200. Its totient is φ = 161042399232.

The previous prime is 479029840547. The next prime is 479029840673. The reversal of 479029840640 is 46048920974.

It is a Harshad number since it is a multiple of its sum of digits (53).

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 63 ways as a sum of consecutive naturals, for example, 1334344781 + ... + 1334345139.

It is an arithmetic number, because the mean of its divisors is an integer number (2346869700).

Almost surely, 2^479029840640 is an apocalyptic number.

479029840640 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 479029840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675898473600).

479029840640 is an abundant number, since it is smaller than the sum of its proper divisors (872767106560).

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

479029840640 is a wasteful number, since it uses less digits than its factorization.

479029840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 479029840640 in words is "four hundred seventy-nine billion, twenty-nine million, eight hundred forty thousand, six hundred forty".