47743616911680 has 1568 divisors, whose sum is σ = 185118260760960. Its totient is φ = 11682065203200.

The previous prime is 47743616911649. The next prime is 47743616911681. The reversal of 47743616911680 is 8611961634774.

47743616911680 is a `hidden beast` number, since 4 + 7 + 7 + 4 + 3 + 616 + 9 + 1 + 1 + 6 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47743616911681) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 45426847155 + ... + 45426848205.

Almost surely, 2^{47743616911680} is an apocalyptic number.

47743616911680 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 47743616911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92559130380480).

47743616911680 is an abundant number, since it is smaller than the sum of its proper divisors (137374643849280).

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

47743616911680 is a wasteful number, since it uses less digits than its factorization.

47743616911680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 47743616911680 in words is "forty-seven trillion, seven hundred forty-three billion, six hundred sixteen million, nine hundred eleven thousand, six hundred eighty".