96383684726784 has 3328 divisors, whose sum is σ = 385157857280000. Its totient is φ = 23892362919936.

The previous prime is 96383684726767. The next prime is 96383684726801. The reversal of 96383684726784 is 48762748638369.

96383684726784 is a `hidden beast` number, since 9 + 6 + 3 + 8 + 3 + 6 + 8 + 472 + 67 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (96383684726767) and next prime (96383684726801).

It is a tau number, because it is divible by the number of its divisors (3328).

It is a super-3 number, since 3×96383684726784³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

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 255 ways as a sum of consecutive naturals, for example, 758926651329 + ... + 758926651455.

Almost surely, 2^{96383684726784} 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 96383684726784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192578928640000).

96383684726784 is an abundant number, since it is smaller than the sum of its proper divisors (288774172553216).

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

96383684726784 is an equidigital number, since it uses as much as digits as its factorization.

96383684726784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 171 counting only the distinct ones).

The product of its digits is 14046068736, while the sum is 81.

The spelling of 96383684726784 in words is "ninety-six trillion, three hundred eighty-three billion, six hundred eighty-four million, seven hundred twenty-six thousand, seven hundred eighty-four".