7048304640 has 768 divisors, whose sum is σ = 28233878400. Its totient is φ = 1656225792.

The previous prime is 7048304591. The next prime is 7048304647. The reversal of 7048304640 is 464038407.

7048304640 is a `hidden beast` number, since 7 + 0 + 4 + 8 + 3 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 = 7048304595 and 7048304604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7048304647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132986854 + ... + 132986906.

Almost surely, 2^7048304640 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 7048304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14116939200).

7048304640 is an abundant number, since it is smaller than the sum of its proper divisors (21185573760).

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

7048304640 is a wasteful number, since it uses less digits than its factorization.

7048304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 7048304640 is about 83954.1817898311. The cubic root of 7048304640 is about 1917.3212644338.

The spelling of 7048304640 in words is "seven billion, forty-eight million, three hundred four thousand, six hundred forty".