4945620960 has 1152 divisors, whose sum is σ = 22643712000. Its totient is φ = 975421440.

The previous prime is 4945620949. The next prime is 4945620961. The reversal of 4945620960 is 690265494.

4945620960 is a `hidden beast` number, since 494 + 56 + 20 + 96 + 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 not an unprimeable number, because it can be changed into a prime (4945620961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159536145 + ... + 159536175.

It is an arithmetic number, because the mean of its divisors is an integer number (19656000).

Almost surely, 2^4945620960 is an apocalyptic number.

4945620960 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 4945620960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321856000).

4945620960 is an abundant number, since it is smaller than the sum of its proper divisors (17698091040).

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

4945620960 is a wasteful number, since it uses less digits than its factorization.

4945620960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4945620960 is about 70325.1090294213. The cubic root of 4945620960 is about 1703.7542130448.

The spelling of 4945620960 in words is "four billion, nine hundred forty-five million, six hundred twenty thousand, nine hundred sixty".