61345810080 has 120 divisors (see below), whose sum is σ = 216499633812. Its totient is φ = 16358879232.

The previous prime is 61345809961. The next prime is 61345810109. The reversal of 61345810080 is 8001854316.

It can be written as a sum of positive squares in 2 ways, for example, as 57674904336 + 3670905744 = 240156^2 + 60588^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 2353777 + ... + 2379696.

Almost surely, 2^61345810080 is an apocalyptic number.

61345810080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61345810080 is an abundant number, since it is smaller than the sum of its proper divisors (155153823732).

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

61345810080 is a wasteful number, since it uses less digits than its factorization.

61345810080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4733500 (or 4733483 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 61345810080 in words is "sixty-one billion, three hundred forty-five million, eight hundred ten thousand, eighty".