4074805968 has 80 divisors (see below), whose sum is σ = 11103098880. Its totient is φ = 1284170112.

The previous prime is 4074805961. The next prime is 4074805981. The reversal of 4074805968 is 8695084704.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4074805968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4074805961) 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, 472705 + ... + 481247.

It is an arithmetic number, because the mean of its divisors is an integer number (138788736).

Almost surely, 2^4074805968 is an apocalyptic number.

4074805968 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 4074805968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5551549440).

4074805968 is an abundant number, since it is smaller than the sum of its proper divisors (7028292912).

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

4074805968 is a wasteful number, since it uses less digits than its factorization.

4074805968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9096 (or 9090 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 4074805968 is about 63834.2068800107. The cubic root of 4074805968 is about 1597.2355869301.

The spelling of 4074805968 in words is "four billion, seventy-four million, eight hundred five thousand, nine hundred sixty-eight".