4256074368 has 480 divisors, whose sum is σ = 15719758560. Its totient is φ = 1119246336.

The previous prime is 4256074349. The next prime is 4256074387. The reversal of 4256074368 is 8634706524.

4256074368 is a `hidden beast` number, since 4 + 2 + 5 + 607 + 4 + 36 + 8 = 666.

4256074368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4256074349) and next prime (4256074387).

It is a super-2 number, since 2×4256074368² = 36228338051893198848, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12265171 + ... + 12265517.

It is an arithmetic number, because the mean of its divisors is an integer number (32749497).

Almost surely, 2^4256074368 is an apocalyptic number.

4256074368 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 4256074368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7859879280).

4256074368 is an abundant number, since it is smaller than the sum of its proper divisors (11463684192).

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

4256074368 is a wasteful number, since it uses less digits than its factorization.

4256074368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4256074368 is about 65238.5956930405. The cubic root of 4256074368 is about 1620.5772428505.

The spelling of 4256074368 in words is "four billion, two hundred fifty-six million, seventy-four thousand, three hundred sixty-eight".