4924998633600 has 768 divisors, whose sum is σ = 19122966528000. Its totient is φ = 1234360995840.

The previous prime is 4924998633589. The next prime is 4924998633647. The reversal of 4924998633600 is 63368994294.

4924998633600 is a `hidden beast` number, since 4 + 9 + 2 + 499 + 86 + 3 + 3 + 60 + 0 = 666.

It is a super-2 number, since 2×4924998633600² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 208471389 + ... + 208495011.

It is an arithmetic number, because the mean of its divisors is an integer number (24899696000).

Almost surely, 2^{4924998633600} is an apocalyptic number.

4924998633600 is a gapful number since it is divisible by the number (40) 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 4924998633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9561483264000).

4924998633600 is an abundant number, since it is smaller than the sum of its proper divisors (14197967894400).

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

4924998633600 is a wasteful number, since it uses less digits than its factorization.

4924998633600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23802 (or 23779 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 4924998633600 in words is "four trillion, nine hundred twenty-four billion, nine hundred ninety-eight million, six hundred thirty-three thousand, six hundred".