505050038640 has 480 divisors, whose sum is σ = 1975546699776. Its totient is φ = 113246760960.

The previous prime is 505050038627. The next prime is 505050038653. The reversal of 505050038640 is 46830050505.

505050038640 is a `hidden beast` number, since 5 + 0 + 5 + 0 + 5 + 0 + 0 + 3 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (505050038627) and next prime (505050038653).

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 = 505050038595 and 505050038604.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 70269127 + ... + 70276313.

Almost surely, 2^505050038640 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 505050038640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987773349888).

505050038640 is an abundant number, since it is smaller than the sum of its proper divisors (1470496661136).

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

505050038640 is a wasteful number, since it uses less digits than its factorization.

505050038640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7477 (or 7468 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 505050038640 in words is "five hundred five billion, fifty million, thirty-eight thousand, six hundred forty".