4227067772928 has 2560 divisors, whose sum is σ = 17819446740480. Its totient is φ = 963158999040.

The previous prime is 4227067772927. The next prime is 4227067772953. The reversal of 4227067772928 is 8292777607224.

It is a happy number.

4227067772928 is a `hidden beast` number, since 4 + 2 + 270 + 6 + 7 + 77 + 292 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4227067772927) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 98303901675 + ... + 98303901717.

It is an arithmetic number, because the mean of its divisors is an integer number (6960721383).

Almost surely, 2^{4227067772928} is an apocalyptic number.

4227067772928 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 4227067772928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8909723370240).

4227067772928 is an abundant number, since it is smaller than the sum of its proper divisors (13592378967552).

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

4227067772928 is a wasteful number, since it uses less digits than its factorization.

4227067772928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 63.

The spelling of 4227067772928 in words is "four trillion, two hundred twenty-seven billion, sixty-seven million, seven hundred seventy-two thousand, nine hundred twenty-eight".