47743637760 has 2304 divisors, whose sum is σ = 237352550400. Its totient is φ = 8790736896.

The previous prime is 47743637759. The next prime is 47743637791. The reversal of 47743637760 is 6773634774.

47743637760 is a `hidden beast` number, since 477 + 43 + 6 + 3 + 77 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 47743637697 and 47743637706.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1015822057 + ... + 1015822103.

It is an arithmetic number, because the mean of its divisors is an integer number (103017600).

Almost surely, 2^47743637760 is an apocalyptic number.

47743637760 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 47743637760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118676275200).

47743637760 is an abundant number, since it is smaller than the sum of its proper divisors (189608912640).

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

47743637760 is a wasteful number, since it uses less digits than its factorization.

47743637760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 12446784, while the sum is 54.

The spelling of 47743637760 in words is "forty-seven billion, seven hundred forty-three million, six hundred thirty-seven thousand, seven hundred sixty".