7287440640 has 288 divisors, whose sum is σ = 24143204736. Its totient is φ = 1872199680.

The previous prime is 7287440627. The next prime is 7287440669. The reversal of 7287440640 is 460447827.

It is a junction number, because it is equal to n+sod(n) for n = 7287440592 and 7287440601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12414427 + ... + 12415013.

It is an arithmetic number, because the mean of its divisors is an integer number (83830572).

Almost surely, 2^7287440640 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 7287440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12071602368).

7287440640 is an abundant number, since it is smaller than the sum of its proper divisors (16855764096).

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

7287440640 is a wasteful number, since it uses less digits than its factorization.

7287440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 7287440640 is about 85366.5077181912. The cubic root of 7287440640 is about 1938.7642819599.

The spelling of 7287440640 in words is "seven billion, two hundred eighty-seven million, four hundred forty thousand, six hundred forty".