47549723760 has 1280 divisors, whose sum is σ = 220785868800. Its totient is φ = 9107251200.

The previous prime is 47549723743. The next prime is 47549723773. The reversal of 47549723760 is 6732794574.

47549723760 is a `hidden beast` number, since 4 + 7 + 549 + 7 + 2 + 37 + 60 = 666.

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 = 47549723697 and 47549723706.

It is a congruent number.

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, 129563097 + ... + 129563463.

It is an arithmetic number, because the mean of its divisors is an integer number (172488960).

Almost surely, 2^47549723760 is an apocalyptic number.

47549723760 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 47549723760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110392934400).

47549723760 is an abundant number, since it is smaller than the sum of its proper divisors (173236145040).

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

47549723760 is a wasteful number, since it uses less digits than its factorization.

47549723760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 47549723760 in words is "forty-seven billion, five hundred forty-nine million, seven hundred twenty-three thousand, seven hundred sixty".