61364558005440 has 224 divisors, whose sum is σ = 195115029957120. Its totient is φ = 16340162420736.

The previous prime is 61364558005417. The next prime is 61364558005489. The reversal of 61364558005440 is 4450085546316.

61364558005440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 3194896317 + ... + 3194915523.

It is an arithmetic number, because the mean of its divisors is an integer number (871049240880).

Almost surely, 2^{61364558005440} is an apocalyptic number.

61364558005440 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 61364558005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97557514978560).

61364558005440 is an abundant number, since it is smaller than the sum of its proper divisors (133750471951680).

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

61364558005440 is a wasteful number, since it uses less digits than its factorization.

61364558005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23879 (or 23869 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 51.

The spelling of 61364558005440 in words is "sixty-one trillion, three hundred sixty-four billion, five hundred fifty-eight million, five thousand, four hundred forty".