93648768000 has 352 divisors, whose sum is σ = 321600534528. Its totient is φ = 24164352000.

The previous prime is 93648767999. The next prime is 93648768001. The reversal of 93648768000 is 86784639.

It is an interprime number because it is at equal distance from previous prime (93648767999) and next prime (93648768001).

It is not an unprimeable number, because it can be changed into a prime (93648768001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11900067 + ... + 11907933.

Almost surely, 2^93648768000 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 93648768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160800267264).

93648768000 is an abundant number, since it is smaller than the sum of its proper divisors (227951766528).

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

93648768000 is a wasteful number, since it uses less digits than its factorization.

93648768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7936 (or 7908 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 93648768000 in words is "ninety-three billion, six hundred forty-eight million, seven hundred sixty-eight thousand".