8400640896 has 320 divisors, whose sum is σ = 26303270400. Its totient is φ = 2657940480.

The previous prime is 8400640891. The next prime is 8400640901. The reversal of 8400640896 is 6980460048.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8400640891) and next prime (8400640901).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8400640891) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18962851 + ... + 18963293.

It is an arithmetic number, because the mean of its divisors is an integer number (82197720).

Almost surely, 2^8400640896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8400640896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13151635200).

8400640896 is an abundant number, since it is smaller than the sum of its proper divisors (17902629504).

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

8400640896 is a wasteful number, since it uses less digits than its factorization.

8400640896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8400640896 is about 91655.0102067530. The cubic root of 8400640896 is about 2032.8444110736.

The spelling of 8400640896 in words is "eight billion, four hundred million, six hundred forty thousand, eight hundred ninety-six".