47673617310 has 512 divisors, whose sum is σ = 155972874240. Its totient is φ = 10218700800.

The previous prime is 47673617279. The next prime is 47673617311. The reversal of 47673617310 is 1371637674.

47673617310 is a `hidden beast` number, since 476 + 7 + 3 + 6 + 173 + 1 + 0 = 666.

It is a super-2 number, since 2×47673617310² (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 not an unprimeable number, because it can be changed into a prime (47673617311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 70837134 + ... + 70837806.

It is an arithmetic number, because the mean of its divisors is an integer number (304634520).

Almost surely, 2^47673617310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47673617310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77986437120).

47673617310 is an abundant number, since it is smaller than the sum of its proper divisors (108299256930).

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

47673617310 is a wasteful number, since it uses less digits than its factorization.

47673617310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 47673617310 in words is "forty-seven billion, six hundred seventy-three million, six hundred seventeen thousand, three hundred ten".