64003085445120 has 1536 divisors, whose sum is σ = 234389591654400. Its totient is φ = 14823928627200.

The previous prime is 64003085445073. The next prime is 64003085445127. The reversal of 64003085445120 is 2154458030046.

It is a tau number, because it is divible by the number of its divisors (1536).

It is not an unprimeable number, because it can be changed into a prime (64003085445127) 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 127 ways as a sum of consecutive naturals, for example, 47026513240 + ... + 47026514600.

It is an arithmetic number, because the mean of its divisors is an integer number (152597390400).

Almost surely, 2^{64003085445120} is an apocalyptic number.

64003085445120 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 64003085445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117194795827200).

64003085445120 is an abundant number, since it is smaller than the sum of its proper divisors (170386506209280).

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

64003085445120 is a wasteful number, since it uses less digits than its factorization.

64003085445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1557 counting only the distinct ones).

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

The spelling of 64003085445120 in words is "sixty-four trillion, three billion, eighty-five million, four hundred forty-five thousand, one hundred twenty".