67841401600 has 324 divisors, whose sum is σ = 196399632744. Its totient is φ = 23133143040.

The previous prime is 67841401597. The next prime is 67841401603. The reversal of 67841401600 is 610414876.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (67841401597) and next prime (67841401603).

It is a self number, because there is not a number n which added to its sum of digits gives 67841401600.

It is not an unprimeable number, because it can be changed into a prime (67841401603) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 71186724 + ... + 71187676.

It is an arithmetic number, because the mean of its divisors is an integer number (606171706).

Almost surely, 2^67841401600 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 67841401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98199816372).

67841401600 is an abundant number, since it is smaller than the sum of its proper divisors (128558231144).

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

67841401600 is a wasteful number, since it uses less digits than its factorization.

67841401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 67841401600 in words is "sixty-seven billion, eight hundred forty-one million, four hundred one thousand, six hundred".