7969754768 has 30 divisors (see below), whose sum is σ = 16352738514. Its totient is φ = 3749779968.

The previous prime is 7969754759. The next prime is 7969754791. The reversal of 7969754768 is 8674579697.

It can be written as a sum of positive squares in 3 ways, for example, as 451477504 + 7518277264 = 21248^2 + 86708^2 .

It is a super-3 number, since 3×7969754768³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a junction number, because it is equal to n+sod(n) for n = 7969754698 and 7969754707.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1469630 + ... + 1475042.

Almost surely, 2^7969754768 is an apocalyptic number.

It is an amenable number.

7969754768 is an abundant number, since it is smaller than the sum of its proper divisors (8382983746).

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

7969754768 is an frugal number, since it uses more digits than its factorization.

7969754768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10851 (or 5432 counting only the distinct ones).

The product of its digits is 160030080, while the sum is 68.

The square root of 7969754768 is about 89273.4830058736. The cubic root of 7969754768 is about 1997.4763810129.

Multiplying 7969754768 by its sum of digits (68), we get a square (541943324224 = 736168²).

7969754768 divided by its sum of digits (68) gives a square (117202276 = 10826²).

The spelling of 7969754768 in words is "seven billion, nine hundred sixty-nine million, seven hundred fifty-four thousand, seven hundred sixty-eight".