4281764564928 has 224 divisors, whose sum is σ = 11998519787520. Its totient is φ = 1344779054080.

The previous prime is 4281764564921. The next prime is 4281764564939. The reversal of 4281764564928 is 8294654671824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4281764564921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394736401 + ... + 394747247.

It is an arithmetic number, because the mean of its divisors is an integer number (53564820480).

Almost surely, 2^{4281764564928} is an apocalyptic number.

4281764564928 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 4281764564928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999259893760).

4281764564928 is an abundant number, since it is smaller than the sum of its proper divisors (7716755222592).

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

4281764564928 is a wasteful number, since it uses less digits than its factorization.

4281764564928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12215 (or 12205 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 66.

The spelling of 4281764564928 in words is "four trillion, two hundred eighty-one billion, seven hundred sixty-four million, five hundred sixty-four thousand, nine hundred twenty-eight".