61724019968 has 144 divisors (see below), whose sum is σ = 141404533200. Its totient is φ = 26637631488.

The previous prime is 61724019923. The next prime is 61724019977. The reversal of 61724019968 is 86991042716.

It can be written as a sum of positive squares in 8 ways, for example, as 204146944 + 61519873024 = 14288^2 + 248032^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8878958 + ... + 8885906.

It is an arithmetic number, because the mean of its divisors is an integer number (981975925).

Almost surely, 2^61724019968 is an apocalyptic number.

61724019968 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61724019968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70702266600).

61724019968 is an abundant number, since it is smaller than the sum of its proper divisors (79680513232).

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

61724019968 is a wasteful number, since it uses less digits than its factorization.

61724019968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7152 (or 7138 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 53.

The spelling of 61724019968 in words is "sixty-one billion, seven hundred twenty-four million, nineteen thousand, nine hundred sixty-eight".