487669966784 has 448 divisors, whose sum is σ = 1335897142272. Its totient is φ = 171931668480.

The previous prime is 487669966769. The next prime is 487669966831.

487669966784 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 487669966699 and 487669966708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410841839 + ... + 410843025.

It is an arithmetic number, because the mean of its divisors is an integer number (2981913264).

Almost surely, 2^487669966784 is an apocalyptic number.

487669966784 is a gapful number since it is divisible by the number (44) 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 487669966784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667948571136).

487669966784 is an abundant number, since it is smaller than the sum of its proper divisors (848227175488).

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

487669966784 is a wasteful number, since it uses less digits than its factorization.

487669966784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1273 counting only the distinct ones).

The product of its digits is 5267275776, while the sum is 80.

The spelling of 487669966784 in words is "four hundred eighty-seven billion, six hundred sixty-nine million, nine hundred sixty-six thousand, seven hundred eighty-four".