67000125600 has 432 divisors, whose sum is σ = 251533900800. Its totient is φ = 16733122560.

The previous prime is 67000125593. The next prime is 67000125623. The reversal of 67000125600 is 652100076.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12172449 + ... + 12177951.

It is an arithmetic number, because the mean of its divisors is an integer number (582254400).

Almost surely, 2^67000125600 is an apocalyptic number.

67000125600 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 67000125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125766950400).

67000125600 is an abundant number, since it is smaller than the sum of its proper divisors (184533775200).

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

67000125600 is a wasteful number, since it uses less digits than its factorization.

67000125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5637 (or 5621 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 67000125600 its reverse (652100076), we get a palindrome (67652225676).

The spelling of 67000125600 in words is "sixty-seven billion, one hundred twenty-five thousand, six hundred".