7971948959296 has 189 divisors, whose sum is σ = 18594962624961. Its totient is φ = 3381109433856.

The previous prime is 7971948959239. The next prime is 7971948959383. The reversal of 7971948959296 is 6929598491797.

It is a happy number.

The square root of 7971948959296 is 2823464.

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., 5342569960000 + 2629378999296 = 2311400^2 + 1621536^2 .

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, 20080475770 + ... + 20080476166.

Almost surely, 2^{7971948959296} is an apocalyptic number.

7971948959296 is the 2823464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7971948959296

7971948959296 is an abundant number, since it is smaller than the sum of its proper divisors (10623013665665).

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

7971948959296 is an frugal number, since it uses more digits than its factorization.

7971948959296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 533 counting only the distinct ones).

The product of its digits is 5555329920, while the sum is 85.

The spelling of 7971948959296 in words is "seven trillion, nine hundred seventy-one billion, nine hundred forty-eight million, nine hundred fifty-nine thousand, two hundred ninety-six".