505976634240 has 768 divisors, whose sum is σ = 2054025734400. Its totient is φ = 104760606720.

The previous prime is 505976634203. The next prime is 505976634271. The reversal of 505976634240 is 42436679505.

It is a congruent number.

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, 359102656 + ... + 359104064.

It is an arithmetic number, because the mean of its divisors is an integer number (2674512675).

Almost surely, 2^505976634240 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 505976634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027012867200).

505976634240 is an abundant number, since it is smaller than the sum of its proper divisors (1548049100160).

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

505976634240 is a wasteful number, since it uses less digits than its factorization.

505976634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 505976634240 in words is "five hundred five billion, nine hundred seventy-six million, six hundred thirty-four thousand, two hundred forty".