10064773200384 has 400 divisors, whose sum is σ = 34414193231616. Its totient is φ = 2868784128000.

The previous prime is 10064773200319. The next prime is 10064773200431. The reversal of 10064773200384 is 48300237746001.

10064773200384 is a `hidden beast` number, since 1 + 0 + 0 + 64 + 7 + 7 + 3 + 200 + 384 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122176809 + ... + 122259159.

Almost surely, 2^{10064773200384} is an apocalyptic number.

10064773200384 is a gapful number since it is divisible by the number (14) 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 10064773200384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17207096615808).

10064773200384 is an abundant number, since it is smaller than the sum of its proper divisors (24349420031232).

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

10064773200384 is an frugal number, since it uses more digits than its factorization.

10064773200384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82809 (or 82784 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 10064773200384 in words is "ten trillion, sixty-four billion, seven hundred seventy-three million, two hundred thousand, three hundred eighty-four".