506624976000 has 2048 divisors, whose sum is σ = 2245501440000. Its totient is φ = 110647296000.

The previous prime is 506624975993. The next prime is 506624976001. The reversal of 506624976000 is 679426605.

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

It is not an unprimeable number, because it can be changed into a prime (506624976001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3644783931 + ... + 3644784069.

It is an arithmetic number, because the mean of its divisors is an integer number (1096436250).

Almost surely, 2^506624976000 is an apocalyptic number.

506624976000 is a gapful number since it is divisible by the number (50) 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 506624976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122750720000).

506624976000 is an abundant number, since it is smaller than the sum of its proper divisors (1738876464000).

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

506624976000 is a wasteful number, since it uses less digits than its factorization.

506624976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 232 counting only the distinct ones).

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

The spelling of 506624976000 in words is "five hundred six billion, six hundred twenty-four million, nine hundred seventy-six thousand".