487006248960 has 2688 divisors, whose sum is σ = 2366701286400. Its totient is φ = 93640458240.

The previous prime is 487006248959. The next prime is 487006248973. The reversal of 487006248960 is 69842600784.

487006248960 is a `hidden beast` number, since 4 + 8 + 7 + 0 + 0 + 624 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a junction number, because it is equal to n+sod(n) for n = 487006248897 and 487006248906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11325726699 + ... + 11325726741.

Almost surely, 2^487006248960 is an apocalyptic number.

487006248960 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 487006248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183350643200).

487006248960 is an abundant number, since it is smaller than the sum of its proper divisors (1879695037440).

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

487006248960 is a wasteful number, since it uses less digits than its factorization.

487006248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 487006248960 in words is "four hundred eighty-seven billion, six million, two hundred forty-eight thousand, nine hundred sixty".