10064564824320 has 864 divisors, whose sum is σ = 38885579591040. Its totient is φ = 2483117752320.

The previous prime is 10064564824289. The next prime is 10064564824339. The reversal of 10064564824320 is 2342846546001.

10064564824320 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 4 + 564 + 82 + 4 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 311956990 + ... + 311989250.

It is an arithmetic number, because the mean of its divisors is an integer number (45006457860).

Almost surely, 2^{10064564824320} is an apocalyptic number.

10064564824320 is a gapful number since it is divisible by the number (10) 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 10064564824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19442789795520).

10064564824320 is an abundant number, since it is smaller than the sum of its proper divisors (28821014766720).

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

10064564824320 is an equidigital number, since it uses as much as digits as its factorization.

10064564824320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32373 (or 32347 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 10064564824320 in words is "ten trillion, sixty-four billion, five hundred sixty-four million, eight hundred twenty-four thousand, three hundred twenty".