64449984384 has 192 divisors, whose sum is σ = 197924912640. Its totient is φ = 20059619328.

The previous prime is 64449984377. The next prime is 64449984433. The reversal of 64449984384 is 48348994446.

64449984384 is a `hidden beast` number, since 64 + 4 + 499 + 8 + 4 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2474212 + ... + 2500124.

It is an arithmetic number, because the mean of its divisors is an integer number (1030858920).

Almost surely, 2^64449984384 is an apocalyptic number.

64449984384 is a gapful number since it is divisible by the number (64) 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 64449984384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98962456320).

64449984384 is an abundant number, since it is smaller than the sum of its proper divisors (133474928256).

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

64449984384 is a wasteful number, since it uses less digits than its factorization.

64449984384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26077 (or 26062 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 63.

The spelling of 64449984384 in words is "sixty-four billion, four hundred forty-nine million, nine hundred eighty-four thousand, three hundred eighty-four".