488346829680 has 240 divisors, whose sum is σ = 1607971547520. Its totient is φ = 122265464832.

The previous prime is 488346829651. The next prime is 488346829781. The reversal of 488346829680 is 86928643884.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58222447 + ... + 58230833.

It is an arithmetic number, because the mean of its divisors is an integer number (6699881448).

Almost surely, 2^488346829680 is an apocalyptic number.

488346829680 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 488346829680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803985773760).

488346829680 is an abundant number, since it is smaller than the sum of its proper divisors (1119624717840).

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

488346829680 is a wasteful number, since it uses less digits than its factorization.

488346829680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8648 (or 8529 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 66.

The spelling of 488346829680 in words is "four hundred eighty-eight billion, three hundred forty-six million, eight hundred twenty-nine thousand, six hundred eighty".