64048008960 has 1440 divisors, whose sum is σ = 270493312320. Its totient is φ = 14332723200.

The previous prime is 64048008949. The next prime is 64048008967. The reversal of 64048008960 is 6980084046.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64048008967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1049967330 + ... + 1049967390.

It is an arithmetic number, because the mean of its divisors is an integer number (187842578).

Almost surely, 2^64048008960 is an apocalyptic number.

64048008960 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 64048008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135246656160).

64048008960 is an abundant number, since it is smaller than the sum of its proper divisors (206445303360).

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

64048008960 is a wasteful number, since it uses less digits than its factorization.

64048008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 64048008960 in words is "sixty-four billion, forty-eight million, eight thousand, nine hundred sixty".