67672755306 has 96 divisors (see below), whose sum is σ = 159802498128. Its totient is φ = 20573429760.

The previous prime is 67672755281. The next prime is 67672755313. The reversal of 67672755306 is 60355727676.

67672755306 is a `hidden beast` number, since 6 + 7 + 67 + 27 + 553 + 0 + 6 = 666.

67672755306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3329867025 + 64342888281 = 57705^2 + 253659^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6644490 + ... + 6654666.

Almost surely, 2^67672755306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67672755306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79901249064).

67672755306 is an abundant number, since it is smaller than the sum of its proper divisors (92129742822).

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

67672755306 is a wasteful number, since it uses less digits than its factorization.

67672755306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10536 (or 10533 counting only the distinct ones).

The product of its (nonzero) digits is 11113200, while the sum is 54.

The spelling of 67672755306 in words is "sixty-seven billion, six hundred seventy-two million, seven hundred fifty-five thousand, three hundred six".