488710471680 has 576 divisors, whose sum is σ = 1766634105600. Its totient is φ = 128156958720.

The previous prime is 488710471673. The next prime is 488710471783. The reversal of 488710471680 is 86174017884.

488710471680 is a `hidden beast` number, since 4 + 8 + 87 + 10 + 471 + 6 + 80 = 666.

488710471680 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1256324926 + ... + 1256325314.

It is an arithmetic number, because the mean of its divisors is an integer number (3067073100).

Almost surely, 2^488710471680 is an apocalyptic number.

488710471680 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 488710471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883317052800).

488710471680 is an abundant number, since it is smaller than the sum of its proper divisors (1277923633920).

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

488710471680 is an frugal number, since it uses more digits than its factorization.

488710471680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 488710471680 in words is "four hundred eighty-eight billion, seven hundred ten million, four hundred seventy-one thousand, six hundred eighty".