501964004640 has 576 divisors, whose sum is σ = 1908088939008. Its totient is φ = 110509056000.

The previous prime is 501964004627. The next prime is 501964004671. The reversal of 501964004640 is 46400469105.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87891385 + ... + 87897095.

It is an arithmetic number, because the mean of its divisors is an integer number (3312654408).

Almost surely, 2^501964004640 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 501964004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954044469504).

501964004640 is an abundant number, since it is smaller than the sum of its proper divisors (1406124934368).

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

501964004640 is a wasteful number, since it uses less digits than its factorization.

501964004640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5881 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 501964004640 in words is "five hundred one billion, nine hundred sixty-four million, four thousand, six hundred forty".