96966447864 has 512 divisors, whose sum is σ = 317011968000. Its totient is φ = 24259737600.

The previous prime is 96966447863. The next prime is 96966447881. The reversal of 96966447864 is 46874466969.

It is a super-2 number, since 2×96966447864² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96966447863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88877959 + ... + 88879049.

It is an arithmetic number, because the mean of its divisors is an integer number (619164000).

Almost surely, 2^96966447864 is an apocalyptic number.

96966447864 is a gapful number since it is divisible by the number (94) 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 96966447864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505984000).

96966447864 is an abundant number, since it is smaller than the sum of its proper divisors (220045520136).

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

96966447864 is a wasteful number, since it uses less digits than its factorization.

96966447864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1215 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 69.

The spelling of 96966447864 in words is "ninety-six billion, nine hundred sixty-six million, four hundred forty-seven thousand, eight hundred sixty-four".