4070724768 has 192 divisors, whose sum is σ = 13634611200. Its totient is φ = 1168577280.

The previous prime is 4070724743. The next prime is 4070724821. The reversal of 4070724768 is 8674270704.

4070724768 is a `hidden beast` number, since 40 + 70 + 72 + 476 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169305 + ... + 191847.

It is an arithmetic number, because the mean of its divisors is an integer number (71013600).

Almost surely, 2^4070724768 is an apocalyptic number.

4070724768 is a gapful number since it is divisible by the number (48) 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 4070724768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6817305600).

4070724768 is an abundant number, since it is smaller than the sum of its proper divisors (9563886432).

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

4070724768 is a wasteful number, since it uses less digits than its factorization.

4070724768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22592 (or 22578 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 4070724768 is about 63802.2316851064. The cubic root of 4070724768 is about 1596.7021615000.

The spelling of 4070724768 in words is "four billion, seventy million, seven hundred twenty-four thousand, seven hundred sixty-eight".