4793406080 has 128 divisors (see below), whose sum is σ = 12237160320. Its totient is φ = 1791111168.

The previous prime is 4793406077. The next prime is 4793406083. The reversal of 4793406080 is 806043974.

It is an interprime number because it is at equal distance from previous prime (4793406077) and next prime (4793406083).

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4793406083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629174 + ... + 636746.

It is an arithmetic number, because the mean of its divisors is an integer number (95602815).

Almost surely, 2^4793406080 is an apocalyptic number.

4793406080 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 4793406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6118580160).

4793406080 is an abundant number, since it is smaller than the sum of its proper divisors (7443754240).

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

4793406080 is a wasteful number, since it uses less digits than its factorization.

4793406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7658 (or 7646 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 4793406080 is about 69234.4284297921. The cubic root of 4793406080 is about 1686.0925422492.

The spelling of 4793406080 in words is "four billion, seven hundred ninety-three million, four hundred six thousand, eighty".