64000822320 has 120 divisors (see below), whose sum is σ = 215047035216. Its totient is φ = 17058077184.

The previous prime is 64000822313. The next prime is 64000822351. The reversal of 64000822320 is 2322800046.

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

It is a super-2 number, since 2×64000822320² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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, 1437514 + ... + 1481366.

Almost surely, 2^64000822320 is an apocalyptic number.

64000822320 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 64000822320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107523517608).

64000822320 is an abundant number, since it is smaller than the sum of its proper divisors (151046212896).

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

64000822320 is a wasteful number, since it uses less digits than its factorization.

64000822320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45899 (or 45890 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 64000822320 in words is "sixty-four billion, eight hundred twenty-two thousand, three hundred twenty".