64820354560 has 320 divisors, whose sum is σ = 176951174400. Its totient is φ = 22600876032.

The previous prime is 64820354551. The next prime is 64820354563. The reversal of 64820354560 is 6545302846.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×64820354560² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64820354563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45359926 + ... + 45361354.

It is an arithmetic number, because the mean of its divisors is an integer number (552972420).

Almost surely, 2^64820354560 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 64820354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88475587200).

64820354560 is an abundant number, since it is smaller than the sum of its proper divisors (112130819840).

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

64820354560 is a wasteful number, since it uses less digits than its factorization.

64820354560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 64820354560 in words is "sixty-four billion, eight hundred twenty million, three hundred fifty-four thousand, five hundred sixty".