7967704644 has 243 divisors, whose sum is σ = 22860219837. Its totient is φ = 2429354592.

The previous prime is 7967704639. The next prime is 7967704669. The reversal of 7967704644 is 4464077697.

The square root of 7967704644 is 89262.

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

It can be written as a sum of positive squares in only one way, i.e., 4178071044 + 3789633600 = 64638^2 + 61560^2 .

It is a tau number, because it is divible by the number of its divisors (243).

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 274748422 + ... + 274748450.

Almost surely, 2^7967704644 is an apocalyptic number.

7967704644 is the 89262-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7967704644

7967704644 is an abundant number, since it is smaller than the sum of its proper divisors (14892515193).

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

7967704644 is an equidigital number, since it uses as much as digits as its factorization.

7967704644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The cubic root of 7967704644 is about 1997.3050906962.

The spelling of 7967704644 in words is "seven billion, nine hundred sixty-seven million, seven hundred four thousand, six hundred forty-four".