4274368560 has 720 divisors, whose sum is σ = 18564978432. Its totient is φ = 862202880.

The previous prime is 4274368541. The next prime is 4274368589. The reversal of 4274368560 is 658634724.

4274368560 is a `hidden beast` number, since 4 + 27 + 4 + 3 + 68 + 560 = 666.

4274368560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26223039 + ... + 26223201.

Almost surely, 2^4274368560 is an apocalyptic number.

4274368560 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 4274368560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9282489216).

4274368560 is an abundant number, since it is smaller than the sum of its proper divisors (14290609872).

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

4274368560 is a wasteful number, since it uses less digits than its factorization.

4274368560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4274368560 is about 65378.6552324228. The cubic root of 4274368560 is about 1622.8958719952.

The spelling of 4274368560 in words is "four billion, two hundred seventy-four million, three hundred sixty-eight thousand, five hundred sixty".