96544060683840 has 1008 divisors, whose sum is σ = 426023455044096. Its totient is φ = 19634248212480.

The previous prime is 96544060683787. The next prime is 96544060683899. The reversal of 96544060683840 is 4838606044569.

96544060683840 is a `hidden beast` number, since 9 + 6 + 5 + 440 + 60 + 68 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 114228882 + ... + 115070958.

It is an arithmetic number, because the mean of its divisors is an integer number (422642316512).

Almost surely, 2^{96544060683840} is an apocalyptic number.

96544060683840 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 96544060683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213011727522048).

96544060683840 is an abundant number, since it is smaller than the sum of its proper divisors (329479394360256).

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

96544060683840 is a wasteful number, since it uses less digits than its factorization.

96544060683840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842176 (or 842152 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 96544060683840 in words is "ninety-six trillion, five hundred forty-four billion, sixty million, six hundred eighty-three thousand, eight hundred forty".