7684872440 has 128 divisors (see below), whose sum is σ = 21219148800. Its totient is φ = 2444789760.

The previous prime is 7684872427. The next prime is 7684872451. The reversal of 7684872440 is 442784867.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 326591 + ... + 349329.

It is an arithmetic number, because the mean of its divisors is an integer number (165774600).

Almost surely, 2^7684872440 is an apocalyptic number.

7684872440 is a gapful number since it is divisible by the number (70) 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 7684872440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10609574400).

7684872440 is an abundant number, since it is smaller than the sum of its proper divisors (13534276360).

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

7684872440 is a wasteful number, since it uses less digits than its factorization.

7684872440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22845 (or 22841 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 50.

The square root of 7684872440 is about 87663.4042231991. The cubic root of 7684872440 is about 1973.3868098131.

The spelling of 7684872440 in words is "seven billion, six hundred eighty-four million, eight hundred seventy-two thousand, four hundred forty".