4993869600 has 216 divisors, whose sum is σ = 18217623060. Its totient is φ = 1285724160.

The previous prime is 4993869593. The next prime is 4993869649. The reversal of 4993869600 is 69683994.

It is a happy number.

4993869600 is a `hidden beast` number, since 499 + 38 + 69 + 60 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2133331344 + 2860538256 = 46188^2 + 53484^2 .

It is a super-3 number, since 3×4993869600³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 196842 + ... + 220758.

Almost surely, 2^4993869600 is an apocalyptic number.

4993869600 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 4993869600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9108811530).

4993869600 is an abundant number, since it is smaller than the sum of its proper divisors (13223753460).

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

4993869600 is a wasteful number, since it uses less digits than its factorization.

4993869600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23972 (or 23956 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 4993869600 is about 70667.3163492148. The cubic root of 4993869600 is about 1709.2768050947.

The spelling of 4993869600 in words is "four billion, nine hundred ninety-three million, eight hundred sixty-nine thousand, six hundred".