506921631264 has 288 divisors, whose sum is σ = 1575411888960. Its totient is φ = 159899443200.

The previous prime is 506921631233. The next prime is 506921631269. The reversal of 506921631264 is 462136129605.

506921631264 is a `hidden beast` number, since 5 + 0 + 6 + 9 + 2 + 1 + 631 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (506921631269) 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 47 ways as a sum of consecutive naturals, for example, 201078324 + ... + 201080844.

It is an arithmetic number, because the mean of its divisors is an integer number (5470180170).

Almost surely, 2^506921631264 is an apocalyptic number.

506921631264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506921631264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787705944480).

506921631264 is an abundant number, since it is smaller than the sum of its proper divisors (1068490257696).

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

506921631264 is a wasteful number, since it uses less digits than its factorization.

506921631264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 506921631264 in words is "five hundred six billion, nine hundred twenty-one million, six hundred thirty-one thousand, two hundred sixty-four".