1993948768 has 288 divisors, whose sum is σ = 5295144960. Its totient is φ = 731566080.

The previous prime is 1993948753. The next prime is 1993948783. The reversal of 1993948768 is 8678493991.

It is an interprime number because it is at equal distance from previous prime (1993948753) and next prime (1993948783).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 15700321 + ... + 15700447.

It is an arithmetic number, because the mean of its divisors is an integer number (18385920).

Almost surely, 2^1993948768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1993948768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647572480).

1993948768 is an abundant number, since it is smaller than the sum of its proper divisors (3301196192).

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

1993948768 is a wasteful number, since it uses less digits than its factorization.

1993948768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 64.

The square root of 1993948768 is about 44653.6534675496. The cubic root of 1993948768 is about 1258.6490871116.

The spelling of 1993948768 in words is "one billion, nine hundred ninety-three million, nine hundred forty-eight thousand, seven hundred sixty-eight".