67096218240 has 512 divisors, whose sum is σ = 249173107200. Its totient is φ = 17031168000.

The previous prime is 67096218229. The next prime is 67096218253. The reversal of 67096218240 is 4281269076.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 159373230 + ... + 159373650.

It is an arithmetic number, because the mean of its divisors is an integer number (486666225).

Almost surely, 2^67096218240 is an apocalyptic number.

67096218240 is a gapful number since it is divisible by the number (60) 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 67096218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124586553600).

67096218240 is an abundant number, since it is smaller than the sum of its proper divisors (182076888960).

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

67096218240 is a wasteful number, since it uses less digits than its factorization.

67096218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 67096218240 in words is "sixty-seven billion, ninety-six million, two hundred eighteen thousand, two hundred forty".