4993764048 has 600 divisors, whose sum is σ = 18965536128. Its totient is φ = 1254984192.

The previous prime is 4993764031. The next prime is 4993764049. The reversal of 4993764048 is 8404673994.

It is a happy number.

4993764048 is a `hidden beast` number, since 499 + 3 + 76 + 40 + 48 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4993763985 and 4993764003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4993764049) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18987565 + ... + 18987827.

Almost surely, 2^4993764048 is an apocalyptic number.

4993764048 is a gapful number since it is divisible by the number (48) 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 4993764048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9482768064).

4993764048 is an abundant number, since it is smaller than the sum of its proper divisors (13971772080).

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

4993764048 is a wasteful number, since it uses less digits than its factorization.

4993764048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 4993764048 is about 70666.5695219458. The cubic root of 4993764048 is about 1709.2647624057.

The spelling of 4993764048 in words is "four billion, nine hundred ninety-three million, seven hundred sixty-four thousand, forty-eight".