61044845760 has 504 divisors, whose sum is σ = 226406939616. Its totient is φ = 15090647040.

The previous prime is 61044845747. The next prime is 61044845783. The reversal of 61044845760 is 6754844016.

61044845760 is a `hidden beast` number, since 6 + 104 + 484 + 5 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59094204 + ... + 59095236.

Almost surely, 2^61044845760 is an apocalyptic number.

61044845760 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 61044845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113203469808).

61044845760 is an abundant number, since it is smaller than the sum of its proper divisors (165362093856).

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

61044845760 is a wasteful number, since it uses less digits than its factorization.

61044845760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 61044845760 in words is "sixty-one billion, forty-four million, eight hundred forty-five thousand, seven hundred sixty".