61730382720 has 128 divisors (see below), whose sum is σ = 197118541440. Its totient is φ = 16431908864.

The previous prime is 61730382719. The next prime is 61730382737. The reversal of 61730382720 is 2728303716.

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

It is a congruent number.

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, 1052407 + ... + 1109513.

It is an arithmetic number, because the mean of its divisors is an integer number (1539988605).

Almost surely, 2^61730382720 is an apocalyptic number.

61730382720 is a gapful number since it is divisible by the number (60) 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 61730382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98559270720).

61730382720 is an abundant number, since it is smaller than the sum of its proper divisors (135388158720).

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

61730382720 is a wasteful number, since it uses less digits than its factorization.

61730382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57692 (or 57680 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 61730382720 in words is "sixty-one billion, seven hundred thirty million, three hundred eighty-two thousand, seven hundred twenty".