7947189493776 has 405 divisors, whose sum is σ = 25607653684119. Its totient is φ = 2299283490816.

The previous prime is 7947189493729. The next prime is 7947189493811. The reversal of 7947189493776 is 6773949817497.

The square root of 7947189493776 is 2819076.

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

7947189493776 is a `hidden beast` number, since 7 + 9 + 47 + 1 + 89 + 493 + 7 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71757551376 + 7875431942400 = 267876^2 + 2806320^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7947189493695 and 7947189493704.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7476189021 + ... + 7476190083.

Almost surely, 2^{7947189493776} is an apocalyptic number.

7947189493776 is the 2819076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7947189493776

7947189493776 is an abundant number, since it is smaller than the sum of its proper divisors (17660464190343).

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

7947189493776 is a wasteful number, since it uses less digits than its factorization.

7947189493776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 1098 counting only the distinct ones).

The product of its digits is 4032758016, while the sum is 81.

Multiplying 7947189493776 by its sum of digits (81), we get a square (643722348995856 = 25371684²).

The spelling of 7947189493776 in words is "seven trillion, nine hundred forty-seven billion, one hundred eighty-nine million, four hundred ninety-three thousand, seven hundred seventy-six".