510536643660 has 192 divisors, whose sum is σ = 1661698160640. Its totient is φ = 129996264960.

The previous prime is 510536643653. The next prime is 510536643689. The reversal of 510536643660 is 66346635015.

510536643660 is a `hidden beast` number, since 5 + 10 + 536 + 6 + 43 + 6 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 795267 + ... + 1285893.

It is an arithmetic number, because the mean of its divisors is an integer number (8654677920).

Almost surely, 2^510536643660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510536643660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830849080320).

510536643660 is an abundant number, since it is smaller than the sum of its proper divisors (1151161516980).

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

510536643660 is a wasteful number, since it uses less digits than its factorization.

510536643660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490733 (or 490725 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 510536643660 in words is "five hundred ten billion, five hundred thirty-six million, six hundred forty-three thousand, six hundred sixty".