4264565760 has 880 divisors, whose sum is σ = 18974805696. Its totient is φ = 891813888.

The previous prime is 4264565689. The next prime is 4264565761. The reversal of 4264565760 is 675654624.

4264565760 is a `hidden beast` number, since 4 + 26 + 4 + 56 + 576 + 0 = 666.

It is a super-2 number, since 2×4264565760² = 36373042242728755200, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4264565761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37739464 + ... + 37739576.

Almost surely, 2^4264565760 is an apocalyptic number.

4264565760 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 4264565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9487402848).

4264565760 is an abundant number, since it is smaller than the sum of its proper divisors (14710239936).

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

4264565760 is a wasteful number, since it uses less digits than its factorization.

4264565760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 4264565760 is about 65303.6427774133. The cubic root of 4264565760 is about 1621.6542772235.

The spelling of 4264565760 in words is "four billion, two hundred sixty-four million, five hundred sixty-five thousand, seven hundred sixty".