64448097408 has 96 divisors (see below), whose sum is σ = 185559975900. Its totient is φ = 21470668800.

The previous prime is 64448097391. The next prime is 64448097521. The reversal of 64448097408 is 80479084446.

It can be written as a sum of positive squares in 2 ways, for example, as 64438807104 + 9290304 = 253848^2 + 3048^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×64448097408² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2175238 + ... + 2204666.

Almost surely, 2^64448097408 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 64448097408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92779987950).

64448097408 is an abundant number, since it is smaller than the sum of its proper divisors (121111878492).

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

64448097408 is a wasteful number, since it uses less digits than its factorization.

64448097408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31350 (or 31335 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 64448097408 in words is "sixty-four billion, four hundred forty-eight million, ninety-seven thousand, four hundred eight".