4935365820 has 288 divisors, whose sum is σ = 18862212096. Its totient is φ = 1014681600.

The previous prime is 4935365803. The next prime is 4935365833. The reversal of 4935365820 is 285635394.

4935365820 is a `hidden beast` number, since 4 + 9 + 35 + 36 + 582 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1342585 + ... + 1346255.

It is an arithmetic number, because the mean of its divisors is an integer number (65493792).

Almost surely, 2^4935365820 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 4935365820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9431106048).

4935365820 is an abundant number, since it is smaller than the sum of its proper divisors (13926846276).

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

4935365820 is a wasteful number, since it uses less digits than its factorization.

4935365820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 4935365820 is about 70252.1588280389. The cubic root of 4935365820 is about 1702.5757746682.

The spelling of 4935365820 in words is "four billion, nine hundred thirty-five million, three hundred sixty-five thousand, eight hundred twenty".