61739408000 has 128 divisors (see below), whose sum is σ = 154167708240. Its totient is φ = 24588288000.

The previous prime is 61739407999. The next prime is 61739408057. The reversal of 61739408000 is 80493716.

It can be written as a sum of positive squares in 8 ways, for example, as 4304409664 + 57434998336 = 65608^2 + 239656^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3719720 + ... + 3736280.

Almost surely, 2^61739408000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61739408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77083854120).

61739408000 is an abundant number, since it is smaller than the sum of its proper divisors (92428300240).

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

61739408000 is a wasteful number, since it uses less digits than its factorization.

61739408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16823 (or 16801 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 61739408000 in words is "sixty-one billion, seven hundred thirty-nine million, four hundred eight thousand".