8469999648 has 288 divisors, whose sum is σ = 27206891712. Its totient is φ = 2477260800.

The previous prime is 8469999623. The next prime is 8469999653.

It is a happy number.

8469999648 is nontrivially palindromic in base 10.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

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, 13213408 + ... + 13214048.

It is an arithmetic number, because the mean of its divisors is an integer number (94468374).

Almost surely, 2^8469999648 is an apocalyptic number.

8469999648 is a gapful number since it is divisible by the number (88) 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 8469999648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13603445856).

8469999648 is an abundant number, since it is smaller than the sum of its proper divisors (18736892064).

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

8469999648 is a wasteful number, since it uses less digits than its factorization.

8469999648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 797 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 72.

The square root of 8469999648 is about 92032.6010063825. The cubic root of 8469999648 is about 2038.4237189050.

The spelling of 8469999648 in words is "eight billion, four hundred sixty-nine million, nine hundred ninety-nine thousand, six hundred forty-eight".