4268857074664 has 256 divisors, whose sum is σ = 10205798400000. Its totient is φ = 1663181952768.

The previous prime is 4268857074631. The next prime is 4268857074683. The reversal of 4268857074664 is 4664707588624.

It is a super-3 number, since 3×4268857074664³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4268857074664.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 629714427 + ... + 629721205.

It is an arithmetic number, because the mean of its divisors is an integer number (39866400000).

Almost surely, 2^{4268857074664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4268857074664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5102899200000).

4268857074664 is an abundant number, since it is smaller than the sum of its proper divisors (5936941325336).

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

4268857074664 is a wasteful number, since it uses less digits than its factorization.

4268857074664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7085 (or 7067 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 67.

The spelling of 4268857074664 in words is "four trillion, two hundred sixty-eight billion, eight hundred fifty-seven million, seventy-four thousand, six hundred sixty-four".