483966510768 has 320 divisors, whose sum is σ = 1546261032960. Its totient is φ = 143924428800.

The previous prime is 483966510767. The next prime is 483966510793. The reversal of 483966510768 is 867015669384.

483966510768 is a `hidden beast` number, since 48 + 3 + 9 + 6 + 6 + 510 + 76 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (483966510767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200731483 + ... + 200733893.

It is an arithmetic number, because the mean of its divisors is an integer number (4832065728).

Almost surely, 2^483966510768 is an apocalyptic number.

483966510768 is a gapful number since it is divisible by the number (48) 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 483966510768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773130516480).

483966510768 is an abundant number, since it is smaller than the sum of its proper divisors (1062294522192).

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

483966510768 is a wasteful number, since it uses less digits than its factorization.

483966510768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3625 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 483966510768 in words is "four hundred eighty-three billion, nine hundred sixty-six million, five hundred ten thousand, seven hundred sixty-eight".