7968061696 has 81 divisors (see below), whose sum is σ = 18524975889. Its totient is φ = 3410598912.

The previous prime is 7968061693. The next prime is 7968061709. The reversal of 7968061696 is 6961608697.

The square root of 7968061696 is 89264.

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., 3863865600 + 4104196096 = 62160^2 + 64064^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7968061696.

It is not an unprimeable number, because it can be changed into a prime (7968061693) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9997170 + ... + 9997966.

Almost surely, 2^7968061696 is an apocalyptic number.

7968061696 is the 89264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7968061696

7968061696 is an abundant number, since it is smaller than the sum of its proper divisors (10556914193).

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

7968061696 is an frugal number, since it uses more digits than its factorization.

7968061696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 58.

The cubic root of 7968061696 is about 1997.3349249315.

It can be divided in two parts, 79680 and 61696, that added together give a square (141376 = 376²).

The spelling of 7968061696 in words is "seven billion, nine hundred sixty-eight million, sixty-one thousand, six hundred ninety-six".