8742600288 has 144 divisors (see below), whose sum is σ = 26003708640. Its totient is φ = 2780946432.

The previous prime is 8742600247. The next prime is 8742600323. The reversal of 8742600288 is 8820062478.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3370320 + ... + 3372912.

It is an arithmetic number, because the mean of its divisors is an integer number (180581310).

Almost surely, 2^8742600288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8742600288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13001854320).

8742600288 is an abundant number, since it is smaller than the sum of its proper divisors (17261108352).

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

8742600288 is a wasteful number, since it uses less digits than its factorization.

8742600288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 8742600288 is about 93501.8731790973. The cubic root of 8742600288 is about 2060.0616037128.

The spelling of 8742600288 in words is "eight billion, seven hundred forty-two million, six hundred thousand, two hundred eighty-eight".