47307296680900 has 81 divisors (see below), whose sum is σ = 109053380442279. Its totient is φ = 17809365615360.

The previous prime is 47307296680867. The next prime is 47307296680907. The reversal of 47307296680900 is 908669270374.

The square root of 47307296680900 is 6878030.

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 1106565140356 + 46200731540544 = 1051934^2 + 6797112^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47307296680907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1169244871 + ... + 1169285329.

Almost surely, 2^{47307296680900} is an apocalyptic number.

47307296680900 is the 6878030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47307296680900

47307296680900 is an abundant number, since it is smaller than the sum of its proper divisors (61746083761379).

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

47307296680900 is an frugal number, since it uses more digits than its factorization.

47307296680900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80966 (or 40483 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 61.

The spelling of 47307296680900 in words is "forty-seven trillion, three hundred seven billion, two hundred ninety-six million, six hundred eighty thousand, nine hundred".