4268777646406 has 64 divisors (see below), whose sum is σ = 7898382535680. Its totient is φ = 1684987920000.

The previous prime is 4268777646373. The next prime is 4268777646439. The reversal of 4268777646406 is 6046467778624.

It is an interprime number because it is at equal distance from previous prime (4268777646373) and next prime (4268777646439).

It is a super-3 number, since 3×4268777646406³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162600781 + ... + 162627031.

It is an arithmetic number, because the mean of its divisors is an integer number (123412227120).

Almost surely, 2^{4268777646406} is an apocalyptic number.

4268777646406 is a deficient number, since it is larger than the sum of its proper divisors (3629604889274).

4268777646406 is a wasteful number, since it uses less digits than its factorization.

4268777646406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28229.

The product of its (nonzero) digits is 455196672, while the sum is 67.

The spelling of 4268777646406 in words is "four trillion, two hundred sixty-eight billion, seven hundred seventy-seven million, six hundred forty-six thousand, four hundred six".