64328716239840 has 1152 divisors, whose sum is σ = 267793029504000. Its totient is φ = 14349048569856.

The previous prime is 64328716239803. The next prime is 64328716239841. The reversal of 64328716239840 is 4893261782346.

64328716239840 is a `hidden beast` number, since 6 + 4 + 3 + 2 + 87 + 162 + 398 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64328716239841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 318944146 + ... + 319145774.

It is an arithmetic number, because the mean of its divisors is an integer number (232459227000).

Almost surely, 2^{64328716239840} is an apocalyptic number.

64328716239840 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 64328716239840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133896514752000).

64328716239840 is an abundant number, since it is smaller than the sum of its proper divisors (203464313264160).

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

64328716239840 is a wasteful number, since it uses less digits than its factorization.

64328716239840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201721 (or 201694 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 64328716239840 in words is "sixty-four trillion, three hundred twenty-eight billion, seven hundred sixteen million, two hundred thirty-nine thousand, eight hundred forty".