488546069760 has 1440 divisors, whose sum is σ = 2136879360000. Its totient is φ = 104091402240.

The previous prime is 488546069723. The next prime is 488546069761. The reversal of 488546069760 is 67960645884.

488546069760 is a `hidden beast` number, since 4 + 8 + 85 + 460 + 6 + 97 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488546069761) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 979049991 + ... + 979050489.

It is an arithmetic number, because the mean of its divisors is an integer number (1483944000).

Almost surely, 2^488546069760 is an apocalyptic number.

488546069760 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 488546069760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068439680000).

488546069760 is an abundant number, since it is smaller than the sum of its proper divisors (1648333290240).

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

488546069760 is a wasteful number, since it uses less digits than its factorization.

488546069760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 488546069760 in words is "four hundred eighty-eight billion, five hundred forty-six million, sixty-nine thousand, seven hundred sixty".