4905948960 has 288 divisors, whose sum is σ = 19225926720. Its totient is φ = 1126656000.

The previous prime is 4905948959. The next prime is 4905948997. The reversal of 4905948960 is 698495094.

4905948960 is a `hidden beast` number, since 49 + 0 + 594 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 4905948897 and 4905948906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292810 + ... + 309110.

It is an arithmetic number, because the mean of its divisors is an integer number (66756690).

Almost surely, 2^4905948960 is an apocalyptic number.

4905948960 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 4905948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9612963360).

4905948960 is an abundant number, since it is smaller than the sum of its proper divisors (14319977760).

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

4905948960 is a wasteful number, since it uses less digits than its factorization.

4905948960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16352 (or 16341 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 4905948960 is about 70042.4796819759. The cubic root of 4905948960 is about 1699.1863418843.

The spelling of 4905948960 in words is "four billion, nine hundred five million, nine hundred forty-eight thousand, nine hundred sixty".