61382724908544 has 1120 divisors, whose sum is σ = 211632583710240. Its totient is φ = 17610330341376.

The previous prime is 61382724908539. The next prime is 61382724908567. The reversal of 61382724908544 is 44580942728316.

61382724908544 is a `hidden beast` number, since 6 + 1 + 3 + 8 + 27 + 2 + 490 + 85 + 44 = 666.

61382724908544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8991167659 + ... + 8991174485.

It is an arithmetic number, because the mean of its divisors is an integer number (188957664027).

It is a 1-persistent number, because it is pandigital, but 2⋅61382724908544 = 122765449817088 is not.

Almost surely, 2^{61382724908544} is an apocalyptic number.

61382724908544 is a gapful number since it is divisible by the number (64) 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 61382724908544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105816291855120).

61382724908544 is an abundant number, since it is smaller than the sum of its proper divisors (150249858801696).

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

61382724908544 is a wasteful number, since it uses less digits than its factorization.

61382724908544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7002 (or 6971 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 61382724908544 in words is "sixty-one trillion, three hundred eighty-two billion, seven hundred twenty-four million, nine hundred eight thousand, five hundred forty-four".