4983752634624 has 405 divisors, whose sum is σ = 15309681263877. Its totient is φ = 1612494563328.

The previous prime is 4983752634613. The next prime is 4983752634673. The reversal of 4983752634624 is 4264362573894.

It is a happy number.

The square root of 4983752634624 is 2232432.

It is a perfect power (a square), and thus also a powerful number.

4983752634624 is a `hidden beast` number, since 4 + 9 + 83 + 7 + 526 + 3 + 4 + 6 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4459530297600 + 524222337024 = 2111760^2 + 724032^2 .

It is a super-2 number, since 2×4983752634624² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11894397487 + ... + 11894397905.

Almost surely, 2^{4983752634624} is an apocalyptic number.

4983752634624 is the 2232432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4983752634624

4983752634624 is an abundant number, since it is smaller than the sum of its proper divisors (10325928629253).

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

4983752634624 is an frugal number, since it uses more digits than its factorization.

4983752634624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 461 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 63.

The spelling of 4983752634624 in words is "four trillion, nine hundred eighty-three billion, seven hundred fifty-two million, six hundred thirty-four thousand, six hundred twenty-four".