4935342720 has 768 divisors, whose sum is σ = 21097843200. Its totient is φ = 967680000.

The previous prime is 4935342719. The next prime is 4935342749. The reversal of 4935342720 is 272435394.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19662595 + ... + 19662845.

It is an arithmetic number, because the mean of its divisors is an integer number (27471150).

Almost surely, 2^4935342720 is an apocalyptic number.

4935342720 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 4935342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10548921600).

4935342720 is an abundant number, since it is smaller than the sum of its proper divisors (16162500480).

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

4935342720 is a wasteful number, since it uses less digits than its factorization.

4935342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 4935342720 is about 70251.9944200875. The cubic root of 4935342720 is about 1702.5731183598.

The spelling of 4935342720 in words is "four billion, nine hundred thirty-five million, three hundred forty-two thousand, seven hundred twenty".