61827666816 has 128 divisors (see below), whose sum is σ = 165790800000. Its totient is φ = 20414130176.

The previous prime is 61827666779. The next prime is 61827666841. The reversal of 61827666816 is 61866672816.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 23972215 + ... + 23974793.

It is an arithmetic number, because the mean of its divisors is an integer number (1295240625).

Almost surely, 2^61827666816 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 61827666816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82895400000).

61827666816 is an abundant number, since it is smaller than the sum of its proper divisors (103963133184).

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

61827666816 is a wasteful number, since it uses less digits than its factorization.

61827666816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3152 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 57.

The spelling of 61827666816 in words is "sixty-one billion, eight hundred twenty-seven million, six hundred sixty-six thousand, eight hundred sixteen".