47688077376 has 189 divisors, whose sum is σ = 142361765949. Its totient is φ = 15848856576.

The previous prime is 47688077363. The next prime is 47688077377. The reversal of 47688077376 is 67377088674.

The square root of 47688077376 is 218376.

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

It can be written as a sum of positive squares in only one way, i.e., 12859560000 + 34828517376 = 113400^2 + 186624^2 .

It is not an unprimeable number, because it can be changed into a prime (47688077377) 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, 141507480 + ... + 141507816.

Almost surely, 2^47688077376 is an apocalyptic number.

47688077376 is the 218376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47688077376

47688077376 is an abundant number, since it is smaller than the sum of its proper divisors (94673688573).

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

47688077376 is an frugal number, since it uses more digits than its factorization.

47688077376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 63.

The spelling of 47688077376 in words is "forty-seven billion, six hundred eighty-eight million, seventy-seven thousand, three hundred seventy-six".