4706179440 has 160 divisors (see below), whose sum is σ = 15108556800. Its totient is φ = 1210567680.

The previous prime is 4706179433. The next prime is 4706179459. The reversal of 4706179440 is 449716074.

It is a junction number, because it is equal to n+sod(n) for n = 4706179392 and 4706179401.

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, 2818926 + ... + 2820594.

It is an arithmetic number, because the mean of its divisors is an integer number (94428480).

Almost surely, 2^4706179440 is an apocalyptic number.

4706179440 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 4706179440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7554278400).

4706179440 is an abundant number, since it is smaller than the sum of its proper divisors (10402377360).

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

4706179440 is a wasteful number, since it uses less digits than its factorization.

4706179440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 4706179440 is about 68601.5993982648. The cubic root of 4706179440 is about 1675.8024746187.

The spelling of 4706179440 in words is "four billion, seven hundred six million, one hundred seventy-nine thousand, four hundred forty".