7884061440 has 576 divisors, whose sum is σ = 28609459200. Its totient is φ = 1839726592.

The previous prime is 7884061403. The next prime is 7884061447. The reversal of 7884061440 is 441604887.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7884061392 and 7884061401.

It is not an unprimeable number, because it can be changed into a prime (7884061447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88584916 + ... + 88585004.

It is an arithmetic number, because the mean of its divisors is an integer number (49669200).

Almost surely, 2^7884061440 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 7884061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14304729600).

7884061440 is an abundant number, since it is smaller than the sum of its proper divisors (20725397760).

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

7884061440 is a wasteful number, since it uses less digits than its factorization.

7884061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 7884061440 is about 88792.2374985561. The cubic root of 7884061440 is about 1990.2914011460.

The spelling of 7884061440 in words is "seven billion, eight hundred eighty-four million, sixty-one thousand, four hundred forty".