47624724056 has 256 divisors, whose sum is σ = 122169600000. Its totient is φ = 17226349056.

The previous prime is 47624724013. The next prime is 47624724061. The reversal of 47624724056 is 65042742674.

It is a super-2 number, since 2×47624724056² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 47624724056.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 19654061 + ... + 19656483.

It is an arithmetic number, because the mean of its divisors is an integer number (477225000).

Almost surely, 2^47624724056 is an apocalyptic number.

47624724056 is the 125996-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47624724056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61084800000).

47624724056 is an abundant number, since it is smaller than the sum of its proper divisors (74544875944).

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

47624724056 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (47624724055) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (2511).

47624724056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 47.

The spelling of 47624724056 in words is "forty-seven billion, six hundred twenty-four million, seven hundred twenty-four thousand, fifty-six".