4790829680 has 160 divisors (see below), whose sum is σ = 13751203200. Its totient is φ = 1511571456.

The previous prime is 4790829647. The next prime is 4790829697. The reversal of 4790829680 is 869280974.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2976716 + ... + 2978324.

It is an arithmetic number, because the mean of its divisors is an integer number (85945020).

Almost surely, 2^4790829680 is an apocalyptic number.

4790829680 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 4790829680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6875601600).

4790829680 is an abundant number, since it is smaller than the sum of its proper divisors (8960373520).

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

4790829680 is a wasteful number, since it uses less digits than its factorization.

4790829680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 53.

The square root of 4790829680 is about 69215.8195790529. The cubic root of 4790829680 is about 1685.7904030690.

The spelling of 4790829680 in words is "four billion, seven hundred ninety million, eight hundred twenty-nine thousand, six hundred eighty".