8811609840 has 320 divisors, whose sum is σ = 33364293120. Its totient is φ = 2119772160.

The previous prime is 8811609839. The next prime is 8811609901. The reversal of 8811609840 is 489061188.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3253767 + ... + 3256473.

It is an arithmetic number, because the mean of its divisors is an integer number (104263416).

Almost surely, 2^8811609840 is an apocalyptic number.

8811609840 is a gapful number since it is divisible by the number (80) 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 8811609840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16682146560).

8811609840 is an abundant number, since it is smaller than the sum of its proper divisors (24552683280).

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

8811609840 is a wasteful number, since it uses less digits than its factorization.

8811609840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 8811609840 is about 93870.1754552531. The cubic root of 8811609840 is about 2065.4677567010.

The spelling of 8811609840 in words is "eight billion, eight hundred eleven million, six hundred nine thousand, eight hundred forty".