47604875760 has 480 divisors, whose sum is σ = 180339082560. Its totient is φ = 11172446208.

The previous prime is 47604875749. The next prime is 47604875777. The reversal of 47604875760 is 6757840674.

47604875760 is a `hidden beast` number, since 4 + 7 + 60 + 4 + 8 + 7 + 576 + 0 = 666.

It is a super-2 number, since 2×47604875760² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47604875697 and 47604875706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22528464 + ... + 22530576.

It is an arithmetic number, because the mean of its divisors is an integer number (375706422).

Almost surely, 2^47604875760 is an apocalyptic number.

47604875760 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 47604875760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90169541280).

47604875760 is an abundant number, since it is smaller than the sum of its proper divisors (132734206800).

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

47604875760 is a wasteful number, since it uses less digits than its factorization.

47604875760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 47604875760 in words is "forty-seven billion, six hundred four million, eight hundred seventy-five thousand, seven hundred sixty".