4795829609760 has 1728 divisors, whose sum is σ = 20626685614080. Its totient is φ = 1030343639040.

The previous prime is 4795829609741. The next prime is 4795829609761. The reversal of 4795829609760 is 679069285974.

4795829609760 is a `hidden beast` number, since 4 + 7 + 9 + 5 + 8 + 2 + 9 + 609 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (4795829609761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8428522756 + ... + 8428523324.

It is an arithmetic number, because the mean of its divisors is an integer number (11936739360).

Almost surely, 2^{4795829609760} is an apocalyptic number.

4795829609760 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 4795829609760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10313342807040).

4795829609760 is an abundant number, since it is smaller than the sum of its proper divisors (15830856004320).

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

4795829609760 is an equidigital number, since it uses as much as digits as its factorization.

4795829609760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 4795829609760 in words is "four trillion, seven hundred ninety-five billion, eight hundred twenty-nine million, six hundred nine thousand, seven hundred sixty".