47460843749376 has 768 divisors, whose sum is σ = 151382861604000. Its totient is φ = 14269022208000.

The previous prime is 47460843749369. The next prime is 47460843749377. The reversal of 47460843749376 is 67394734806474.

It is a happy number.

47460843749376 is a `hidden beast` number, since 4 + 7 + 4 + 60 + 8 + 4 + 3 + 7 + 493 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47460843749377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11862243376 + ... + 11862247376.

Almost surely, 2^{47460843749376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47460843749376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75691430802000).

47460843749376 is an abundant number, since it is smaller than the sum of its proper divisors (103922017854624).

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

47460843749376 is a wasteful number, since it uses less digits than its factorization.

47460843749376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4158 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 2048385024, while the sum is 72.

The spelling of 47460843749376 in words is "forty-seven trillion, four hundred sixty billion, eight hundred forty-three million, seven hundred forty-nine thousand, three hundred seventy-six".