7047440640 has 360 divisors, whose sum is σ = 25504545528. Its totient is φ = 1857945600.

The previous prime is 7047440639. The next prime is 7047440641. The reversal of 7047440640 is 460447407.

7047440640 is a `hidden beast` number, since 7 + 0 + 4 + 7 + 4 + 4 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (7047440639) and next prime (7047440641).

It can be written as a sum of positive squares in 4 ways, for example, as 1780164864 + 5267275776 = 42192^2 + 72576^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 = 7047440595 and 7047440604.

It is not an unprimeable number, because it can be changed into a prime (7047440641) 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, 10471344 + ... + 10472016.

Almost surely, 2^7047440640 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 7047440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12752272764).

7047440640 is an abundant number, since it is smaller than the sum of its proper divisors (18457104888).

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

7047440640 is a wasteful number, since it uses less digits than its factorization.

7047440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 7047440640 is about 83949.0359682587. The cubic root of 7047440640 is about 1917.2429177793.

The spelling of 7047440640 in words is "seven billion, forty-seven million, four hundred forty thousand, six hundred forty".