4941960768 has 112 divisors (see below), whose sum is σ = 14703917760. Its totient is φ = 1627425792.

The previous prime is 4941960733. The next prime is 4941960787. The reversal of 4941960768 is 8670691494.

4941960768 is a `hidden beast` number, since 494 + 1 + 96 + 0 + 7 + 68 = 666.

It is a super-2 number, since 2×4941960768² = 48845952464902299648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 126196 + ... + 160652.

It is an arithmetic number, because the mean of its divisors is an integer number (131284980).

Almost surely, 2^4941960768 is an apocalyptic number.

4941960768 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 4941960768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7351958880).

4941960768 is an abundant number, since it is smaller than the sum of its proper divisors (9761956992).

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

4941960768 is a wasteful number, since it uses less digits than its factorization.

4941960768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34561 (or 34545 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 4941960768 is about 70299.0808474762. The cubic root of 4941960768 is about 1703.3338002772. Note that the first 3 decimals are identical.

The spelling of 4941960768 in words is "four billion, nine hundred forty-one million, nine hundred sixty thousand, seven hundred sixty-eight".