4903788960 has 576 divisors, whose sum is σ = 19920805632. Its totient is φ = 1075396608.

The previous prime is 4903788949. The next prime is 4903788977. The reversal of 4903788960 is 698873094.

4903788960 is a `hidden beast` number, since 490 + 3 + 78 + 89 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4903788897 and 4903788906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35794012 + ... + 35794148.

It is an arithmetic number, because the mean of its divisors is an integer number (34584732).

Almost surely, 2^4903788960 is an apocalyptic number.

4903788960 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 4903788960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9960402816).

4903788960 is an abundant number, since it is smaller than the sum of its proper divisors (15017016672).

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

4903788960 is a wasteful number, since it uses less digits than its factorization.

4903788960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 274 counting only the distinct ones).

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

The square root of 4903788960 is about 70027.0587701640. The cubic root of 4903788960 is about 1698.9369316746.

The spelling of 4903788960 in words is "four billion, nine hundred three million, seven hundred eighty-eight thousand, nine hundred sixty".