8475780096 has 297 divisors, whose sum is σ = 28678648089. Its totient is φ = 2403975168.

The previous prime is 8475780077. The next prime is 8475780101. The reversal of 8475780096 is 6900875748.

The square root of 8475780096 is 92064.

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

8475780096 is a `hidden beast` number, since 8 + 475 + 7 + 80 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4978713600 + 3497066496 = 70560^2 + 59136^2 .

It is a zygodrome in base 8.

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, 61866940 + ... + 61867076.

Almost surely, 2^8475780096 is an apocalyptic number.

8475780096 is the 92064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8475780096

8475780096 is an abundant number, since it is smaller than the sum of its proper divisors (20202867993).

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

8475780096 is a wasteful number, since it uses less digits than its factorization.

8475780096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The cubic root of 8475780096 is about 2038.8873286386.

The spelling of 8475780096 in words is "eight billion, four hundred seventy-five million, seven hundred eighty thousand, ninety-six".