4328791568640 has 864 divisors, whose sum is σ = 19177649277696. Its totient is φ = 875172003840.

The previous prime is 4328791568611. The next prime is 4328791568641. The reversal of 4328791568640 is 468651978234.

4328791568640 is a `hidden beast` number, since 4 + 3 + 2 + 8 + 7 + 9 + 1 + 568 + 64 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4328791568641) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 32754534 + ... + 32886426.

It is a 1-persistent number, because it is pandigital, but 2⋅4328791568640 = 8657583137280 is not.

Almost surely, 2^{4328791568640} is an apocalyptic number.

4328791568640 is a gapful number since it is divisible by the number (40) 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 4328791568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9588824638848).

4328791568640 is an abundant number, since it is smaller than the sum of its proper divisors (14848857709056).

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

4328791568640 is a wasteful number, since it uses less digits than its factorization.

4328791568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131975 (or 131958 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 4328791568640 in words is "four trillion, three hundred twenty-eight billion, seven hundred ninety-one million, five hundred sixty-eight thousand, six hundred forty".