64438807104 has 189 divisors, whose sum is σ = 214999957731. Its totient is φ = 18398903040.

The previous prime is 64438807063. The next prime is 64438807109. The reversal of 64438807104 is 40170883446.

The square root of 64438807104 is 253848.

It is a perfect power (a square), and thus also a powerful number.

It is a self number, because there is not a number n which added to its sum of digits gives 64438807104.

It is not an unprimeable number, because it can be changed into a prime (64438807109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42645709 + ... + 42647219.

Almost surely, 2^64438807104 is an apocalyptic number.

64438807104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

64438807104 is the 253848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64438807104

64438807104 is an abundant number, since it is smaller than the sum of its proper divisors (150561150627).

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

64438807104 is an equidigital number, since it uses as much as digits as its factorization.

64438807104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 64438807104 in words is "sixty-four billion, four hundred thirty-eight million, eight hundred seven thousand, one hundred four".