4909779360 has 480 divisors, whose sum is σ = 18500106240. Its totient is φ = 1222760448.

The previous prime is 4909779359. The next prime is 4909779389. The reversal of 4909779360 is 639779094.

4909779360 is a `hidden beast` number, since 490 + 9 + 7 + 7 + 93 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 4909779297 and 4909779306.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31272402 + ... + 31272558.

It is an arithmetic number, because the mean of its divisors is an integer number (38541888).

Almost surely, 2^4909779360 is an apocalyptic number.

4909779360 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 4909779360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9250053120).

4909779360 is an abundant number, since it is smaller than the sum of its proper divisors (13590326880).

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

4909779360 is a wasteful number, since it uses less digits than its factorization.

4909779360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 4909779360 is about 70069.8177534379. The cubic root of 4909779360 is about 1699.6284493653.

The spelling of 4909779360 in words is "four billion, nine hundred nine million, seven hundred seventy-nine thousand, three hundred sixty".