47992694760976 has 135 divisors (see below), whose sum is σ = 108613659711207. Its totient is φ = 20483752396800.

The previous prime is 47992694760937. The next prime is 47992694761007. The reversal of 47992694760976 is 67906749629974.

The square root of 47992694760976 is 6927676.

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 242162410000 + 47750532350976 = 492100^2 + 6910176^2 .

It is a junction number, because it is equal to n+sod(n) for n = 47992694760893 and 47992694760902.

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, 77783945820 + ... + 77783946436.

Almost surely, 2^{47992694760976} is an apocalyptic number.

47992694760976 is the 6927676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47992694760976

47992694760976 is an abundant number, since it is smaller than the sum of its proper divisors (60620964950231).

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

47992694760976 is an frugal number, since it uses more digits than its factorization.

47992694760976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 15554923776, while the sum is 85.

The spelling of 47992694760976 in words is "forty-seven trillion, nine hundred ninety-two billion, six hundred ninety-four million, seven hundred sixty thousand, nine hundred seventy-six".