8738959104 has 360 divisors, whose sum is σ = 28150417680. Its totient is φ = 2687385600.

The previous prime is 8738959091. The next prime is 8738959111. The reversal of 8738959104 is 4019598378.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16153074 + ... + 16153614.

Almost surely, 2^8738959104 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 8738959104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14075208840).

8738959104 is an abundant number, since it is smaller than the sum of its proper divisors (19411458576).

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

8738959104 is a wasteful number, since it uses less digits than its factorization.

8738959104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 8738959104 is about 93482.3999691921. The cubic root of 8738959104 is about 2059.7755673426.

The spelling of 8738959104 in words is "eight billion, seven hundred thirty-eight million, nine hundred fifty-nine thousand, one hundred four".