486657633000 has 1024 divisors, whose sum is σ = 1967587614720. Its totient is φ = 97210368000.

The previous prime is 486657632933. The next prime is 486657633001. The reversal of 486657633000 is 336756684.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (486657633001) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 829058707 + ... + 829059293.

It is an arithmetic number, because the mean of its divisors is an integer number (1921472280).

Almost surely, 2^486657633000 is an apocalyptic number.

486657633000 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 486657633000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983793807360).

486657633000 is an abundant number, since it is smaller than the sum of its proper divisors (1480929981720).

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

486657633000 is a wasteful number, since it uses less digits than its factorization.

486657633000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 486657633000 in words is "four hundred eighty-six billion, six hundred fifty-seven million, six hundred thirty-three thousand".