495510006684 has 768 divisors, whose sum is σ = 1693827072000. Its totient is φ = 110954188800.

The previous prime is 495510006631. The next prime is 495510006697. The reversal of 495510006684 is 486600015594.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 453348042 + ... + 453349134.

It is an arithmetic number, because the mean of its divisors is an integer number (2205504000).

Almost surely, 2^495510006684 is an apocalyptic number.

495510006684 is a gapful number since it is divisible by the number (44) 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 495510006684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846913536000).

495510006684 is an abundant number, since it is smaller than the sum of its proper divisors (1198317065316).

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

495510006684 is a wasteful number, since it uses less digits than its factorization.

495510006684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 495510006684 in words is "four hundred ninety-five billion, five hundred ten million, six thousand, six hundred eighty-four".