506971362240 has 896 divisors, whose sum is σ = 2106996080640. Its totient is φ = 112347648000.

The previous prime is 506971362221. The next prime is 506971362311. The reversal of 506971362240 is 42263179605.

506971362240 is a `hidden beast` number, since 5 + 0 + 6 + 9 + 7 + 13 + 622 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 392695995 + ... + 392697285.

Almost surely, 2^506971362240 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 506971362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053498040320).

506971362240 is an abundant number, since it is smaller than the sum of its proper divisors (1600024718400).

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

506971362240 is a wasteful number, since it uses less digits than its factorization.

506971362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 506971362240 in words is "five hundred six billion, nine hundred seventy-one million, three hundred sixty-two thousand, two hundred forty".