509814494640 has 1280 divisors, whose sum is σ = 2131320729600. Its totient is φ = 110547763200.

The previous prime is 509814494633. The next prime is 509814494671. The reversal of 509814494640 is 46494418905.

509814494640 is a `hidden beast` number, since 5 + 0 + 98 + 1 + 4 + 494 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 831670974 + ... + 831671586.

It is an arithmetic number, because the mean of its divisors is an integer number (1665094320).

Almost surely, 2^509814494640 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 509814494640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065660364800).

509814494640 is an abundant number, since it is smaller than the sum of its proper divisors (1621506234960).

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

509814494640 is a wasteful number, since it uses less digits than its factorization.

509814494640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 509814494640 in words is "five hundred nine billion, eight hundred fourteen million, four hundred ninety-four thousand, six hundred forty".