96636764160 has 192 divisors, whose sum is σ = 335007449010. Its totient is φ = 25769803776.

The previous prime is 96636764149. The next prime is 96636764167. The reversal of 96636764160 is 6146763669.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (2!)²⁷.

96636764160 is a `hidden beast` number, since 9 + 66 + 367 + 64 + 160 = 666.

It can be written as a sum of positive squares in only one way, i.e., 86973087744 + 9663676416 = 294912^2 + 98304^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 96636764097 and 96636764106.

It is not an unprimeable number, because it can be changed into a prime (96636764167) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19327352830 + ... + 19327352834.

Almost surely, 2^96636764160 is an apocalyptic number.

96636764160 is a gapful number since it is divisible by the number (90) 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 96636764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167503724505).

96636764160 is an abundant number, since it is smaller than the sum of its proper divisors (238370684850).

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

96636764160 is an frugal number, since it uses more digits than its factorization.

96636764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 96636764160 in words is "ninety-six billion, six hundred thirty-six million, seven hundred sixty-four thousand, one hundred sixty".