488471766624 has 192 divisors, whose sum is σ = 1442230272000. Its totient is φ = 160825420800.

The previous prime is 488471766613. The next prime is 488471766637. The reversal of 488471766624 is 426667174884.

It is a super-3 number, since 3×488471766624³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88504537 + ... + 88510055.

It is an arithmetic number, because the mean of its divisors is an integer number (7511616000).

Almost surely, 2^488471766624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488471766624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721115136000).

488471766624 is an abundant number, since it is smaller than the sum of its proper divisors (953758505376).

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

488471766624 is a wasteful number, since it uses less digits than its factorization.

488471766624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6778 (or 6764 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 63.

The spelling of 488471766624 in words is "four hundred eighty-eight billion, four hundred seventy-one million, seven hundred sixty-six thousand, six hundred twenty-four".