8469584640 has 288 divisors, whose sum is σ = 32789030400. Its totient is φ = 2053140480.

The previous prime is 8469584621. The next prime is 8469584657. The reversal of 8469584640 is 464859648.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 369021 + ... + 391299.

It is an arithmetic number, because the mean of its divisors is an integer number (113850800).

Almost surely, 2^8469584640 is an apocalyptic number.

8469584640 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 8469584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16394515200).

8469584640 is an abundant number, since it is smaller than the sum of its proper divisors (24319445760).

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

8469584640 is a wasteful number, since it uses less digits than its factorization.

8469584640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22320 (or 22300 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 8469584640 is about 92030.3462994680. The cubic root of 8469584640 is about 2038.3904258706.

The spelling of 8469584640 in words is "eight billion, four hundred sixty-nine million, five hundred eighty-four thousand, six hundred forty".