4620640512 has 144 divisors (see below), whose sum is σ = 12750635520. Its totient is φ = 1484292096.

The previous prime is 4620640481. The next prime is 4620640537. The reversal of 4620640512 is 2150460264.

It is a super-4 number, since 4×4620640512⁴ (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4620640512.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3210289 + ... + 3211727.

It is an arithmetic number, because the mean of its divisors is an integer number (88546080).

Almost surely, 2^4620640512 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 4620640512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6375317760).

4620640512 is an abundant number, since it is smaller than the sum of its proper divisors (8129995008).

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

4620640512 is a wasteful number, since it uses less digits than its factorization.

4620640512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4620640512 is about 67975.2933939972. The cubic root of 4620640512 is about 1665.5872736484.

The spelling of 4620640512 in words is "four billion, six hundred twenty million, six hundred forty thousand, five hundred twelve".