486587344320 has 1344 divisors, whose sum is σ = 2221723385856. Its totient is φ = 94631362560.

The previous prime is 486587344277. The next prime is 486587344363. The reversal of 486587344320 is 23443785684.

486587344320 is a `hidden beast` number, since 4 + 8 + 6 + 587 + 34 + 4 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (486587344277) and next prime (486587344363).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1270462849 + ... + 1270463231.

Almost surely, 2^486587344320 is an apocalyptic number.

486587344320 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 486587344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110861692928).

486587344320 is an abundant number, since it is smaller than the sum of its proper divisors (1735136041536).

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

486587344320 is a wasteful number, since it uses less digits than its factorization.

486587344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 486587344320 in words is "four hundred eighty-six billion, five hundred eighty-seven million, three hundred forty-four thousand, three hundred twenty".