61734359296 has 81 divisors (see below), whose sum is σ = 126026605999. Its totient is φ = 30181419008.

The previous prime is 61734359237. The next prime is 61734359299. The reversal of 61734359296 is 69295343716.

The square root of 61734359296 is 248464.

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 30532669696 + 31201689600 = 174736^2 + 176640^2 .

It is a super-2 number, since 2×61734359296² (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 (61734359299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 210697326 + ... + 210697618.

Almost surely, 2^61734359296 is an apocalyptic number.

61734359296 is the 248464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61734359296

61734359296 is an abundant number, since it is smaller than the sum of its proper divisors (64292246703).

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

61734359296 is an frugal number, since it uses more digits than its factorization.

61734359296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 348 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 55.

The spelling of 61734359296 in words is "sixty-one billion, seven hundred thirty-four million, three hundred fifty-nine thousand, two hundred ninety-six".