488768488032 has 576 divisors, whose sum is σ = 1513046304000. Its totient is φ = 137824727040.

The previous prime is 488768487967. The next prime is 488768488049. The reversal of 488768488032 is 230884867884.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 979495719 + ... + 979496217.

It is an arithmetic number, because the mean of its divisors is an integer number (2626816500).

Almost surely, 2^488768488032 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 488768488032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756523152000).

488768488032 is an abundant number, since it is smaller than the sum of its proper divisors (1024277815968).

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

488768488032 is a wasteful number, since it uses less digits than its factorization.

488768488032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 132120576, while the sum is 66.

The spelling of 488768488032 in words is "four hundred eighty-eight billion, seven hundred sixty-eight million, four hundred eighty-eight thousand, thirty-two".