506534829696 has 1152 divisors, whose sum is σ = 1852859473920. Its totient is φ = 137168640000.

The previous prime is 506534829683. The next prime is 506534829737. The reversal of 506534829696 is 696928435605.

506534829696 is a `hidden beast` number, since 5 + 0 + 6 + 534 + 8 + 2 + 9 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3354535221 + ... + 3354535371.

It is an arithmetic number, because the mean of its divisors is an integer number (1608384960).

Almost surely, 2^506534829696 is an apocalyptic number.

506534829696 is a gapful number since it is divisible by the number (56) 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 506534829696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926429736960).

506534829696 is an abundant number, since it is smaller than the sum of its proper divisors (1346324644224).

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

506534829696 is a wasteful number, since it uses less digits than its factorization.

506534829696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 506534829696 in words is "five hundred six billion, five hundred thirty-four million, eight hundred twenty-nine thousand, six hundred ninety-six".