4909806720 has 1536 divisors, whose sum is σ = 24058944000. Its totient is φ = 891813888.

The previous prime is 4909806719. The next prime is 4909806751. The reversal of 4909806720 is 276089094.

It is a happy number.

4909806720 is a `hidden beast` number, since 490 + 9 + 80 + 67 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 169303666 + ... + 169303694.

It is an arithmetic number, because the mean of its divisors is an integer number (15663375).

Almost surely, 2^4909806720 is an apocalyptic number.

4909806720 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 4909806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12029472000).

4909806720 is an abundant number, since it is smaller than the sum of its proper divisors (19149137280).

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

4909806720 is a wasteful number, since it uses less digits than its factorization.

4909806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4909806720 is about 70070.0129870118. The cubic root of 4909806720 is about 1699.6316064486.

The spelling of 4909806720 in words is "four billion, nine hundred nine million, eight hundred six thousand, seven hundred twenty".