8684605440 has 624 divisors, whose sum is σ = 35328503808. Its totient is φ = 1932263424.

The previous prime is 8684605439. The next prime is 8684605487. The reversal of 8684605440 is 445064868.

8684605440 is a `hidden beast` number, since 8 + 68 + 46 + 0 + 544 + 0 = 666.

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

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, 68382657 + ... + 68382783.

It is an arithmetic number, because the mean of its divisors is an integer number (56616192).

Almost surely, 2^8684605440 is an apocalyptic number.

8684605440 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 8684605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17664251904).

8684605440 is an abundant number, since it is smaller than the sum of its proper divisors (26643898368).

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

8684605440 is a wasteful number, since it uses less digits than its factorization.

8684605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 8684605440 is about 93191.2304887107. The cubic root of 8684605440 is about 2055.4962908823.

The spelling of 8684605440 in words is "eight billion, six hundred eighty-four million, six hundred five thousand, four hundred forty".