61441560576 has 312 divisors, whose sum is σ = 194664553824. Its totient is φ = 18517524480.

The previous prime is 61441560559. The next prime is 61441560581. The reversal of 61441560576 is 67506514416.

61441560576 is a `hidden beast` number, since 6 + 1 + 4 + 4 + 15 + 60 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112324335 + ... + 112324881.

It is an arithmetic number, because the mean of its divisors is an integer number (623924852).

Almost surely, 2^61441560576 is an apocalyptic number.

61441560576 is a gapful number since it is divisible by the number (66) 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 61441560576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97332276912).

61441560576 is an abundant number, since it is smaller than the sum of its proper divisors (133222993248).

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

61441560576 is a wasteful number, since it uses less digits than its factorization.

61441560576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 61441560576 in words is "sixty-one billion, four hundred forty-one million, five hundred sixty thousand, five hundred seventy-six".