7864410240 has 576 divisors, whose sum is σ = 29697759000. Its totient is φ = 1915060224.

The previous prime is 7864410209. The next prime is 7864410241. The reversal of 7864410240 is 420144687.

7864410240 is a `hidden beast` number, since 7 + 8 + 644 + 1 + 0 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5229025344 + 2635384896 = 72312^2 + 51336^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7864410195 and 7864410204.

It is not an unprimeable number, because it can be changed into a prime (7864410241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88364116 + ... + 88364204.

Almost surely, 2^7864410240 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 7864410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14848879500).

7864410240 is an abundant number, since it is smaller than the sum of its proper divisors (21833348760).

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

7864410240 is a wasteful number, since it uses less digits than its factorization.

7864410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 7864410240 is about 88681.5101359917. The cubic root of 7864410240 is about 1988.6364100276.

The spelling of 7864410240 in words is "seven billion, eight hundred sixty-four million, four hundred ten thousand, two hundred forty".