96736495968 has 288 divisors, whose sum is σ = 336561039360. Its totient is φ = 26746951680.

The previous prime is 96736495957. The next prime is 96736495987. The reversal of 96736495968 is 86959463769.

96736495968 is a `hidden beast` number, since 9 + 6 + 73 + 6 + 495 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 96736495896 and 96736495905.

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, 1658728 + ... + 1716056.

It is an arithmetic number, because the mean of its divisors is an integer number (1168614720).

Almost surely, 2^96736495968 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 96736495968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168280519680).

96736495968 is an abundant number, since it is smaller than the sum of its proper divisors (239824543392).

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

96736495968 is a wasteful number, since it uses less digits than its factorization.

96736495968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57392 (or 57372 counting only the distinct ones).

The product of its digits is 529079040, while the sum is 72.

It can be divided in two parts, 96736 and 495968, that added together give a cube (592704 = 84³).

The spelling of 96736495968 in words is "ninety-six billion, seven hundred thirty-six million, four hundred ninety-five thousand, nine hundred sixty-eight".