4264145680 has 80 divisors (see below), whose sum is σ = 10448795520. Its totient is φ = 1613896704.

The previous prime is 4264145671. The next prime is 4264145681. The reversal of 4264145680 is 865414624.

4264145680 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4264145681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1979484 + ... + 1981636.

It is an arithmetic number, because the mean of its divisors is an integer number (130609944).

Almost surely, 2^4264145680 is an apocalyptic number.

4264145680 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 4264145680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224397760).

4264145680 is an abundant number, since it is smaller than the sum of its proper divisors (6184649840).

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

4264145680 is a wasteful number, since it uses less digits than its factorization.

4264145680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 4264145680 is about 65300.4263385776. The cubic root of 4264145680 is about 1621.6010285899.

The spelling of 4264145680 in words is "four billion, two hundred sixty-four million, one hundred forty-five thousand, six hundred eighty".