47865731760 has 1920 divisors, whose sum is σ = 233685043200. Its totient is φ = 8868372480.

The previous prime is 47865731731. The next prime is 47865731773. The reversal of 47865731760 is 6713756874.

47865731760 is a `hidden beast` number, since 4 + 7 + 8 + 6 + 573 + 1 + 7 + 60 = 666.

It is a super-2 number, since 2×47865731760² (a number of 22 digits) contains 22 as substring.

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 = 47865731697 and 47865731706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2519249031 + ... + 2519249049.

It is an arithmetic number, because the mean of its divisors is an integer number (121710960).

Almost surely, 2^47865731760 is an apocalyptic number.

47865731760 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 47865731760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116842521600).

47865731760 is an abundant number, since it is smaller than the sum of its proper divisors (185819311440).

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

47865731760 is a wasteful number, since it uses less digits than its factorization.

47865731760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 47865731760 in words is "forty-seven billion, eight hundred sixty-five million, seven hundred thirty-one thousand, seven hundred sixty".