488976976080 has 240 divisors, whose sum is σ = 1737635927040. Its totient is φ = 122883609600.

The previous prime is 488976976079. The next prime is 488976976109. The reversal of 488976976080 is 80679679884.

488976976080 is a `hidden beast` number, since 4 + 8 + 8 + 9 + 7 + 6 + 9 + 7 + 608 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2519310 + ... + 2706450.

It is an arithmetic number, because the mean of its divisors is an integer number (7240149696).

Almost surely, 2^488976976080 is an apocalyptic number.

488976976080 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 488976976080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868817963520).

488976976080 is an abundant number, since it is smaller than the sum of its proper divisors (1248658950960).

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

488976976080 is a wasteful number, since it uses less digits than its factorization.

488976976080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187370 (or 187361 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 488976976080 in words is "four hundred eighty-eight billion, nine hundred seventy-six million, nine hundred seventy-six thousand, eighty".