47011829760 has 576 divisors, whose sum is σ = 193179168000. Its totient is φ = 10741579776.

The previous prime is 47011829719. The next prime is 47011829779. The reversal of 47011829760 is 6792811074.

It is a happy number.

47011829760 is a `hidden beast` number, since 470 + 11 + 82 + 97 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×47011829760² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17416891 + ... + 17419589.

It is an arithmetic number, because the mean of its divisors is an integer number (335380500).

Almost surely, 2^47011829760 is an apocalyptic number.

47011829760 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 47011829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96589584000).

47011829760 is an abundant number, since it is smaller than the sum of its proper divisors (146167338240).

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

47011829760 is an equidigital number, since it uses as much as digits as its factorization.

47011829760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 47011829760 in words is "forty-seven billion, eleven million, eight hundred twenty-nine thousand, seven hundred sixty".