502478000640 has 1280 divisors, whose sum is σ = 2342850048000. Its totient is φ = 98895790080.

The previous prime is 502478000627. The next prime is 502478000641. The reversal of 502478000640 is 46000874205.

502478000640 is a `hidden beast` number, since 5 + 0 + 2 + 4 + 7 + 8 + 0 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×502478000640² (a number of 24 digits) contains 22 as substring.

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 = 502478000595 and 502478000604.

It is not an unprimeable number, because it can be changed into a prime (502478000641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101120076 + ... + 101125044.

It is an arithmetic number, because the mean of its divisors is an integer number (1830351600).

Almost surely, 2^502478000640 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 502478000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171425024000).

502478000640 is an abundant number, since it is smaller than the sum of its proper divisors (1840372047360).

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

502478000640 is a wasteful number, since it uses less digits than its factorization.

502478000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 502478000640 its reverse (46000874205), we get a palindrome (548478874845).

The spelling of 502478000640 in words is "five hundred two billion, four hundred seventy-eight million, six hundred forty", and thus it is an aban number.