4253564640 has 192 divisors, whose sum is σ = 14466041856. Its totient is φ = 1044375552.

The previous prime is 4253564573. The next prime is 4253564641. The reversal of 4253564640 is 464653524.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4253564641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3787119 + ... + 3788241.

It is an arithmetic number, because the mean of its divisors is an integer number (75343968).

Almost surely, 2^4253564640 is an apocalyptic number.

4253564640 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 4253564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7233020928).

4253564640 is an abundant number, since it is smaller than the sum of its proper divisors (10212477216).

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

4253564640 is a wasteful number, since it uses less digits than its factorization.

4253564640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The square root of 4253564640 is about 65219.3578625242. The cubic root of 4253564640 is about 1620.2586387845.

The spelling of 4253564640 in words is "four billion, two hundred fifty-three million, five hundred sixty-four thousand, six hundred forty".