8614448640 has 480 divisors, whose sum is σ = 35216603136. Its totient is φ = 1904394240.

The previous prime is 8614448603. The next prime is 8614448663. The reversal of 8614448640 is 468444168.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 4998819 + ... + 5000541.

Almost surely, 2^8614448640 is an apocalyptic number.

8614448640 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 8614448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17608301568).

8614448640 is an abundant number, since it is smaller than the sum of its proper divisors (26602154496).

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

8614448640 is a wasteful number, since it uses less digits than its factorization.

8614448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 8614448640 is about 92814.0541082007. The cubic root of 8614448640 is about 2049.9463511639.

The spelling of 8614448640 in words is "eight billion, six hundred fourteen million, four hundred forty-eight thousand, six hundred forty".