61957183744 has 81 divisors (see below), whose sum is σ = 126742564011. Its totient is φ = 30227873280.

The previous prime is 61957183721. The next prime is 61957183753. The reversal of 61957183744 is 44738175916.

The square root of 61957183744 is 248912.

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

61957183744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 187181659 + ... + 187181989.

Almost surely, 2^61957183744 is an apocalyptic number.

61957183744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

61957183744 is the 248912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61957183744

61957183744 is an abundant number, since it is smaller than the sum of its proper divisors (64785380267).

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

61957183744 is an frugal number, since it uses more digits than its factorization.

61957183744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 380 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 55.

The spelling of 61957183744 in words is "sixty-one billion, nine hundred fifty-seven million, one hundred eighty-three thousand, seven hundred forty-four".