505603304640 has 896 divisors, whose sum is σ = 2107901214720. Its totient is φ = 111692722176.

The previous prime is 505603304567. The next prime is 505603304659. The reversal of 505603304640 is 46403306505.

505603304640 is a `hidden beast` number, since 5 + 0 + 5 + 6 + 0 + 3 + 3 + 0 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 505603304595 and 505603304604.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 235931409 + ... + 235933551.

It is an arithmetic number, because the mean of its divisors is an integer number (2352568320).

Almost surely, 2^505603304640 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 505603304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053950607360).

505603304640 is an abundant number, since it is smaller than the sum of its proper divisors (1602297910080).

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

505603304640 is a wasteful number, since it uses less digits than its factorization.

505603304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 505603304640 in words is "five hundred five billion, six hundred three million, three hundred four thousand, six hundred forty".