486836765800 has 288 divisors, whose sum is σ = 1482739741440. Its totient is φ = 146845440000.

The previous prime is 486836765783. The next prime is 486836765837. The reversal of 486836765800 is 8567638684.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

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 71 ways as a sum of consecutive naturals, for example, 3268960 + ... + 3414640.

It is an arithmetic number, because the mean of its divisors is an integer number (5148401880).

Almost surely, 2^486836765800 is an apocalyptic number.

486836765800 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 486836765800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741369870720).

486836765800 is an abundant number, since it is smaller than the sum of its proper divisors (995902975640).

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

486836765800 is a wasteful number, since it uses less digits than its factorization.

486836765800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145753 (or 145737 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 61.

The spelling of 486836765800 in words is "four hundred eighty-six billion, eight hundred thirty-six million, seven hundred sixty-five thousand, eight hundred".