8901080064 has 176 divisors, whose sum is σ = 26640476800. Its totient is φ = 2935554048.

The previous prime is 8901080057. The next prime is 8901080129. The reversal of 8901080064 is 4600801098.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2680197 + ... + 2683515.

Almost surely, 2^8901080064 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 8901080064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13320238400).

8901080064 is an abundant number, since it is smaller than the sum of its proper divisors (17739396736).

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

8901080064 is a wasteful number, since it uses less digits than its factorization.

8901080064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8901080064 is about 94345.5354746583. The cubic root of 8901080064 is about 2072.4349250735.

The spelling of 8901080064 in words is "eight billion, nine hundred one million, eighty thousand, sixty-four".