6064816946328 has 320 divisors, whose sum is σ = 20539404230400. Its totient is φ = 1633266996480.

The previous prime is 6064816946311. The next prime is 6064816946437. The reversal of 6064816946328 is 8236496184606.

6064816946328 is a `hidden beast` number, since 6 + 0 + 6 + 4 + 8 + 169 + 463 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 16799643 + ... + 17156853.

It is an arithmetic number, because the mean of its divisors is an integer number (64185638220).

Almost surely, 2^{6064816946328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6064816946328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10269702115200).

6064816946328 is an abundant number, since it is smaller than the sum of its proper divisors (14474587284072).

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

6064816946328 is a wasteful number, since it uses less digits than its factorization.

6064816946328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357452 (or 357439 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 6064816946328 in words is "six trillion, sixty-four billion, eight hundred sixteen million, nine hundred forty-six thousand, three hundred twenty-eight".