67830035364 has 567 divisors, whose sum is σ = 228489104403. Its totient is φ = 17551707264.

The previous prime is 67830035353. The next prime is 67830035393. The reversal of 67830035364 is 46353003876.

The square root of 67830035364 is 260442.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1760473764 + 66069561600 = 41958^2 + 257040^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is a super-2 number, since 2×67830035364² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1279811962 + ... + 1279812014.

Almost surely, 2^67830035364 is an apocalyptic number.

67830035364 is the 260442-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67830035364

67830035364 is an abundant number, since it is smaller than the sum of its proper divisors (160659069039).

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

67830035364 is a wasteful number, since it uses less digits than its factorization.

67830035364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 67830035364 in words is "sixty-seven billion, eight hundred thirty million, thirty-five thousand, three hundred sixty-four".