68240784096 has 288 divisors, whose sum is σ = 209421628416. Its totient is φ = 21835008000.

The previous prime is 68240784091. The next prime is 68240784103. The reversal of 68240784096 is 69048704286.

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

It is a super-2 number, since 2×68240784096² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68240784091) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 31577256 + ... + 31579416.

It is an arithmetic number, because the mean of its divisors is an integer number (727158432).

Almost surely, 2^68240784096 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 68240784096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104710814208).

68240784096 is an abundant number, since it is smaller than the sum of its proper divisors (141180844320).

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

68240784096 is a wasteful number, since it uses less digits than its factorization.

68240784096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 68240784096 in words is "sixty-eight billion, two hundred forty million, seven hundred eighty-four thousand, ninety-six".