67238383680 has 672 divisors, whose sum is σ = 265857228000. Its totient is φ = 15451029504.

The previous prime is 67238383679. The next prime is 67238383687. The reversal of 67238383680 is 8638383276.

It can be written as a sum of positive squares in 16 ways, for example, as 43527311424 + 23711072256 = 208632^2 + 153984^2 .

It is not an unprimeable number, because it can be changed into a prime (67238383687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94835166 + ... + 94835874.

It is an arithmetic number, because the mean of its divisors is an integer number (395620875).

Almost surely, 2^67238383680 is an apocalyptic number.

67238383680 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 67238383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132928614000).

67238383680 is an abundant number, since it is smaller than the sum of its proper divisors (198618844320).

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

67238383680 is a wasteful number, since it uses less digits than its factorization.

67238383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 67238383680 in words is "sixty-seven billion, two hundred thirty-eight million, three hundred eighty-three thousand, six hundred eighty".