67563604900 has 243 divisors, whose sum is σ = 172430823747. Its totient is φ = 22957017600.

The previous prime is 67563604877. The next prime is 67563604909. The reversal of 67563604900 is 940636576.

The square root of 67563604900 is 259930.

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 1580380516 + 65983224384 = 39754^2 + 256872^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67563604909) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 486069031 + ... + 486069169.

Almost surely, 2^67563604900 is an apocalyptic number.

67563604900 is the 259930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67563604900

67563604900 is an abundant number, since it is smaller than the sum of its proper divisors (104867218847).

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

67563604900 is a wasteful number, since it uses less digits than its factorization.

67563604900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 46.

The spelling of 67563604900 in words is "sixty-seven billion, five hundred sixty-three million, six hundred four thousand, nine hundred".