61802327808 has 576 divisors, whose sum is σ = 209434780800. Its totient is φ = 17836277760.

The previous prime is 61802327803. The next prime is 61802327819. The reversal of 61802327808 is 80872320816.

61802327808 is a `hidden beast` number, since 618 + 0 + 2 + 3 + 27 + 8 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61802327803) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 96415168 + ... + 96415808.

It is an arithmetic number, because the mean of its divisors is an integer number (363602050).

Almost surely, 2^61802327808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61802327808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104717390400).

61802327808 is an abundant number, since it is smaller than the sum of its proper divisors (147632452992).

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

61802327808 is a wasteful number, since it uses less digits than its factorization.

61802327808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 61802327808 in words is "sixty-one billion, eight hundred two million, three hundred twenty-seven thousand, eight hundred eight".