7972942849600 has 189 divisors, whose sum is σ = 19911440377827. Its totient is φ = 3142236948480.

The previous prime is 7972942849583. The next prime is 7972942849661. The reversal of 7972942849600 is 69482492797.

The square root of 7972942849600 is 2823640.

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

It can be written as a sum of positive squares in 4 ways, for example, as 43627512384 + 7929315337216 = 208872^2 + 2815904^2 .

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, 8245028317 + ... + 8245029283.

Almost surely, 2^{7972942849600} is an apocalyptic number.

7972942849600 is the 2823640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7972942849600

7972942849600 is an abundant number, since it is smaller than the sum of its proper divisors (11938497528227).

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

7972942849600 is an frugal number, since it uses more digits than its factorization.

7972942849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 67.

The spelling of 7972942849600 in words is "seven trillion, nine hundred seventy-two billion, nine hundred forty-two million, eight hundred forty-nine thousand, six hundred".