61805802240 has 1728 divisors, whose sum is σ = 289273420800. Its totient is φ = 11816534016.

The previous prime is 61805802209. The next prime is 61805802283. The reversal of 61805802240 is 4220850816.

61805802240 is a `hidden beast` number, since 6 + 18 + 0 + 580 + 22 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 61805802195 and 61805802204.

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 191 ways as a sum of consecutive naturals, for example, 577624267 + ... + 577624373.

It is an arithmetic number, because the mean of its divisors is an integer number (167403600).

Almost surely, 2^61805802240 is an apocalyptic number.

61805802240 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 61805802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144636710400).

61805802240 is an abundant number, since it is smaller than the sum of its proper divisors (227467618560).

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

61805802240 is a wasteful number, since it uses less digits than its factorization.

61805802240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 61805802240 in words is "sixty-one billion, eight hundred five million, eight hundred two thousand, two hundred forty".