96684658560 has 1280 divisors, whose sum is σ = 427724352000. Its totient is φ = 20316635136.

The previous prime is 96684658531. The next prime is 96684658613. The reversal of 96684658560 is 6585648669.

96684658560 is a `hidden beast` number, since 9 + 6 + 6 + 8 + 4 + 65 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 159 ways as a sum of consecutive naturals, for example, 255104451 + ... + 255104829.

It is an arithmetic number, because the mean of its divisors is an integer number (334159650).

Almost surely, 2^96684658560 is an apocalyptic number.

96684658560 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 96684658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213862176000).

96684658560 is an abundant number, since it is smaller than the sum of its proper divisors (331039693440).

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

96684658560 is a wasteful number, since it uses less digits than its factorization.

96684658560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 96684658560 in words is "ninety-six billion, six hundred eighty-four million, six hundred fifty-eight thousand, five hundred sixty".