67231008000 has 432 divisors, whose sum is σ = 260540266896. Its totient is φ = 16548249600.

The previous prime is 67231007989. The next prime is 67231008011. The reversal of 67231008000 is 80013276.

It is an interprime number because it is at equal distance from previous prime (67231007989) and next prime (67231008011).

It can be written as a sum of positive squares in 8 ways, for example, as 10959577344 + 56271430656 = 104688^2 + 237216^2 .

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3735022 + ... + 3752978.

Almost surely, 2^67231008000 is an apocalyptic number.

67231008000 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 67231008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130270133448).

67231008000 is an abundant number, since it is smaller than the sum of its proper divisors (193309258896).

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

67231008000 is a wasteful number, since it uses less digits than its factorization.

67231008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18007 (or 17980 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 67231008000 in words is "sixty-seven billion, two hundred thirty-one million, eight thousand".