47477682561600 has 756 divisors, whose sum is σ = 173246218152540. Its totient is φ = 12331708416000.

The previous prime is 47477682561593. The next prime is 47477682561611. The reversal of 47477682561600 is 616528677474.

47477682561600 is a `hidden beast` number, since 4 + 7 + 4 + 7 + 7 + 6 + 8 + 2 + 5 + 616 + 0 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 45912441360384 + 1565241201216 = 6775872^2 + 1251096^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19873453206 + ... + 19873455594.

Almost surely, 2^{47477682561600} is an apocalyptic number.

47477682561600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47477682561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86623109076270).

47477682561600 is an abundant number, since it is smaller than the sum of its proper divisors (125768535590940).

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

47477682561600 is a wasteful number, since it uses less digits than its factorization.

47477682561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 47477682561600 in words is "forty-seven trillion, four hundred seventy-seven billion, six hundred eighty-two million, five hundred sixty-one thousand, six hundred".