67532416900 has 81 divisors (see below), whose sum is σ = 158764617711. Its totient is φ = 24922572480.

The previous prime is 67532416849. The next prime is 67532416901. The reversal of 67532416900 is 961423576.

The square root of 67532416900 is 259870.

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 17406580356 + 50125836544 = 131934^2 + 223888^2 .

It is a super-2 number, since 2×67532416900² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67532416901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33782101 + ... + 33784099.

Almost surely, 2^67532416900 is an apocalyptic number.

67532416900 is the 259870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67532416900

67532416900 is an abundant number, since it is smaller than the sum of its proper divisors (91232200811).

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

67532416900 is a wasteful number, since it uses less digits than its factorization.

67532416900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4038 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

It can be divided in two parts, 675324 and 16900, that added together give a square (692224 = 832²).

The spelling of 67532416900 in words is "sixty-seven billion, five hundred thirty-two million, four hundred sixteen thousand, nine hundred".