7643433384976 has 135 divisors (see below), whose sum is σ = 15919851761541. Its totient is φ = 3554355935232.

The previous prime is 7643433384953. The next prime is 7643433385013. The reversal of 7643433384976 is 6794833343467.

The square root of 7643433384976 is 2764676.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 445588290576 + 7197845094400 = 667524^2 + 2682880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20491778326 + ... + 20491778698.

Almost surely, 2^{7643433384976} is an apocalyptic number.

7643433384976 is the 2764676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7643433384976

7643433384976 is an abundant number, since it is smaller than the sum of its proper divisors (8276418376565).

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

7643433384976 is an equidigital number, since it uses as much as digits as its factorization.

7643433384976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 501 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 67.

The spelling of 7643433384976 in words is "seven trillion, six hundred forty-three billion, four hundred thirty-three million, three hundred eighty-four thousand, nine hundred seventy-six".