4795770240 has 448 divisors, whose sum is σ = 18127623600. Its totient is φ = 1209323520.

The previous prime is 4795770211. The next prime is 4795770247. The reversal of 4795770240 is 420775974.

4795770240 is a `hidden beast` number, since 4 + 79 + 577 + 0 + 2 + 4 + 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 (4795770247) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8864370 + ... + 8864910.

Almost surely, 2^4795770240 is an apocalyptic number.

4795770240 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 4795770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9063811800).

4795770240 is an abundant number, since it is smaller than the sum of its proper divisors (13331853360).

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

4795770240 is an equidigital number, since it uses as much as digits as its factorization.

4795770240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 4795770240 is about 69251.4999115543. The cubic root of 4795770240 is about 1686.3696964143.

The spelling of 4795770240 in words is "four billion, seven hundred ninety-five million, seven hundred seventy thousand, two hundred forty".