4935000000 has 448 divisors, whose sum is σ = 19049951232. Its totient is φ = 1104000000.

The previous prime is 4934999981. The next prime is 4935000001. The reversal of 4935000000 is 5394.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4935000001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104999977 + ... + 105000023.

Almost surely, 2^4935000000 is an apocalyptic number.

4935000000 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 4935000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9524975616).

4935000000 is an abundant number, since it is smaller than the sum of its proper divisors (14114951232).

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

4935000000 is an frugal number, since it uses more digits than its factorization.

4935000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 4935000000 is about 70249.5551587339. Note that the first 3 decimals coincide. The cubic root of 4935000000 is about 1702.5337074280.

Adding to 4935000000 its reverse (5394), we get a palindrome (4935005394).

The spelling of 4935000000 in words is "four billion, nine hundred thirty-five million", and thus it is an aban number.