7020438384960 has 3584 divisors, whose sum is σ = 35924771635200. Its totient is φ = 1242594017280.

The previous prime is 7020438384929. The next prime is 7020438384977. The reversal of 7020438384960 is 694838340207.

7020438384960 is a `hidden beast` number, since 70 + 2 + 0 + 4 + 3 + 83 + 8 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7020438384897 and 7020438384906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 5768642272 + ... + 5768643488.

It is an arithmetic number, because the mean of its divisors is an integer number (10023652800).

Almost surely, 2^{7020438384960} is an apocalyptic number.

7020438384960 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 7020438384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17962385817600).

7020438384960 is an abundant number, since it is smaller than the sum of its proper divisors (28904333250240).

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

7020438384960 is a wasteful number, since it uses less digits than its factorization.

7020438384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 7020438384960 in words is "seven trillion, twenty billion, four hundred thirty-eight million, three hundred eighty-four thousand, nine hundred sixty".