4226782560 has 768 divisors, whose sum is σ = 18858147840. Its totient is φ = 766402560.

The previous prime is 4226782559. The next prime is 4226782577. The reversal of 4226782560 is 652876224.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9128889 + ... + 9129351.

It is an arithmetic number, because the mean of its divisors is an integer number (24554880).

Almost surely, 2^4226782560 is an apocalyptic number.

4226782560 is a gapful number since it is divisible by the number (40) 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 4226782560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9429073920).

4226782560 is an abundant number, since it is smaller than the sum of its proper divisors (14631365280).

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

4226782560 is a wasteful number, since it uses less digits than its factorization.

4226782560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 4226782560 is about 65013.7105540055. The cubic root of 4226782560 is about 1616.8508859169.

The spelling of 4226782560 in words is "four billion, two hundred twenty-six million, seven hundred eighty-two thousand, five hundred sixty".