47705871974400 has 2688 divisors, whose sum is σ = 194411177602560. Its totient is φ = 11557907988480.

The previous prime is 47705871974279. The next prime is 47705871974443. The reversal of 47705871974400 is 447917850774.

47705871974400 is a `hidden beast` number, since 4 + 7 + 7 + 0 + 587 + 1 + 9 + 7 + 4 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 375636787137 + ... + 375636787263.

Almost surely, 2^{47705871974400} is an apocalyptic number.

47705871974400 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 47705871974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97205588801280).

47705871974400 is an abundant number, since it is smaller than the sum of its proper divisors (146705305628160).

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

47705871974400 is an equidigital number, since it uses as much as digits as its factorization.

47705871974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 55319040, while the sum is 63.

The spelling of 47705871974400 in words is "forty-seven trillion, seven hundred five billion, eight hundred seventy-one million, nine hundred seventy-four thousand, four hundred".