4079504640 has 144 divisors (see below), whose sum is σ = 13061160000. Its totient is φ = 1085177856.

The previous prime is 4079504629. The next prime is 4079504677. The reversal of 4079504640 is 464059704.

It is a happy number.

It is a Cunningham number, because it is equal to 63871²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1915096 + ... + 1917224.

It is an arithmetic number, because the mean of its divisors is an integer number (90702500).

Almost surely, 2^4079504640 is an apocalyptic number.

4079504640 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 4079504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6530580000).

4079504640 is an abundant number, since it is smaller than the sum of its proper divisors (8981655360).

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

4079504640 is a wasteful number, since it uses less digits than its factorization.

4079504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 4079504640 is about 63870.9999921717. Note that the first 5 decimals coincide. The cubic root of 4079504640 is about 1597.8492769560.

The spelling of 4079504640 in words is "four billion, seventy-nine million, five hundred four thousand, six hundred forty".