4659320512704 has 448 divisors, whose sum is σ = 15000914880000. Its totient is φ = 1256810741760.

The previous prime is 4659320512703. The next prime is 4659320512727. The reversal of 4659320512704 is 4072150239564.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4659320512703) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 739688947 + ... + 739695245.

It is an arithmetic number, because the mean of its divisors is an integer number (33484185000).

Almost surely, 2^{4659320512704} is an apocalyptic number.

4659320512704 is a gapful number since it is divisible by the number (44) 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 4659320512704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7500457440000).

4659320512704 is an abundant number, since it is smaller than the sum of its proper divisors (10341594367296).

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

4659320512704 is a wasteful number, since it uses less digits than its factorization.

4659320512704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7296 (or 7286 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 4659320512704 in words is "four trillion, six hundred fifty-nine billion, three hundred twenty million, five hundred twelve thousand, seven hundred four".