67834202500 has 45 divisors (see below), whose sum is σ = 148368317097. Its totient is φ = 27128472000.

The previous prime is 67834202459. The next prime is 67834202503. The reversal of 67834202500 is 520243876.

The square root of 67834202500 is 260450.

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

It can be written as a sum of positive squares in 7 ways, for example, as 11403249796 + 56430952704 = 106786^2 + 237552^2 .

It is a super-2 number, since 2×67834202500² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 67834202500.

It is not an unprimeable number, because it can be changed into a prime (67834202503) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13019896 + ... + 13025104.

Almost surely, 2^67834202500 is an apocalyptic number.

67834202500 is the 260450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67834202500

67834202500 is an abundant number, since it is smaller than the sum of its proper divisors (80534114597).

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

67834202500 is an frugal number, since it uses more digits than its factorization.

67834202500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10442 (or 5216 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 67834202500 in words is "sixty-seven billion, eight hundred thirty-four million, two hundred two thousand, five hundred".