64922041600 has 216 divisors, whose sum is σ = 174247831800. Its totient is φ = 23805788160.

The previous prime is 64922041579. The next prime is 64922041609. The reversal of 64922041600 is 614022946.

It can be written as a sum of positive squares in 12 ways, for example, as 30159184896 + 34762856704 = 173664^2 + 186448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64922041609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12394182 + ... + 12399418.

It is an arithmetic number, because the mean of its divisors is an integer number (806702925).

Almost surely, 2^64922041600 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 64922041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87123915900).

64922041600 is an abundant number, since it is smaller than the sum of its proper divisors (109325790200).

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

64922041600 is a wasteful number, since it uses less digits than its factorization.

64922041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5425 (or 5406 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 64922041600 in words is "sixty-four billion, nine hundred twenty-two million, forty-one thousand, six hundred".