4944936960 has 360 divisors, whose sum is σ = 18095248080. Its totient is φ = 1245708288.

The previous prime is 4944936959. The next prime is 4944936961. The reversal of 4944936960 is 696394494.

4944936960 is a `hidden beast` number, since 4 + 94 + 493 + 6 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (4944936959) and next prime (4944936961).

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 4944936897 and 4944936906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4944936961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14008144 + ... + 14008496.

It is an arithmetic number, because the mean of its divisors is an integer number (50264578).

Almost surely, 2^4944936960 is an apocalyptic number.

4944936960 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 4944936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9047624040).

4944936960 is an abundant number, since it is smaller than the sum of its proper divisors (13150311120).

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

4944936960 is a wasteful number, since it uses less digits than its factorization.

4944936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The square root of 4944936960 is about 70320.2457333590. The cubic root of 4944936960 is about 1703.6756639862.

The spelling of 4944936960 in words is "four billion, nine hundred forty-four million, nine hundred thirty-six thousand, nine hundred sixty".