8845616640 has 320 divisors, whose sum is σ = 33199017984. Its totient is φ = 1966768128.

The previous prime is 8845616629. The next prime is 8845616669. The reversal of 8845616640 is 466165488.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8845616640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1986897 + ... + 1991343.

Almost surely, 2^8845616640 is an apocalyptic number.

8845616640 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 8845616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16599508992).

8845616640 is an abundant number, since it is smaller than the sum of its proper divisors (24353401344).

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

8845616640 is a wasteful number, since it uses less digits than its factorization.

8845616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4517 (or 4501 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 8845616640 is about 94051.1384301115. The cubic root of 8845616640 is about 2068.1214444304.

The spelling of 8845616640 in words is "eight billion, eight hundred forty-five million, six hundred sixteen thousand, six hundred forty".