4901352768 has 196 divisors, whose sum is σ = 15706187028. Its totient is φ = 1507921920.

The previous prime is 4901352767. The next prime is 4901352791. The reversal of 4901352768 is 8672531094.

4901352768 is a `hidden beast` number, since 490 + 135 + 27 + 6 + 8 = 666.

4901352768 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1164720384 + 3736632384 = 34128^2 + 61128^2 .

4901352768 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4901352763) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 602488 + ... + 610568.

It is a 1-persistent number, because it is pandigital, but 2⋅4901352768 = 9802705536 is not.

Almost surely, 2^4901352768 is an apocalyptic number.

4901352768 is a gapful number since it is divisible by the number (48) 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 4901352768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7853093514).

4901352768 is an abundant number, since it is smaller than the sum of its proper divisors (10804834260).

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

4901352768 is an equidigital number, since it uses as much as digits as its factorization.

4901352768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8124 (or 8099 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4901352768 is about 70009.6619617607. The cubic root of 4901352768 is about 1698.6555423116.

The spelling of 4901352768 in words is "four billion, nine hundred one million, three hundred fifty-two thousand, seven hundred sixty-eight".