64005564480 has 896 divisors, whose sum is σ = 256605511680. Its totient is φ = 13284311040.

The previous prime is 64005564431. The next prime is 64005564481. The reversal of 64005564480 is 8446550046.

It is not an unprimeable number, because it can be changed into a prime (64005564481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138240729 + ... + 138241191.

It is an arithmetic number, because the mean of its divisors is an integer number (286390080).

Almost surely, 2^64005564480 is an apocalyptic number.

64005564480 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 64005564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128302755840).

64005564480 is an abundant number, since it is smaller than the sum of its proper divisors (192599947200).

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

64005564480 is a wasteful number, since it uses less digits than its factorization.

64005564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 64005564480 in words is "sixty-four billion, five million, five hundred sixty-four thousand, four hundred eighty".