47047677600 has 576 divisors, whose sum is σ = 199247247360. Its totient is φ = 9350246400.

The previous prime is 47047677569. The next prime is 47047677601. The reversal of 47047677600 is 677674074.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 47047677600.

It is not an unprimeable number, because it can be changed into a prime (47047677601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4244866 + ... + 4255934.

It is an arithmetic number, because the mean of its divisors is an integer number (345915360).

Almost surely, 2^47047677600 is an apocalyptic number.

47047677600 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 47047677600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99623623680).

47047677600 is an abundant number, since it is smaller than the sum of its proper divisors (152199569760).

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

47047677600 is a wasteful number, since it uses less digits than its factorization.

47047677600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11133 (or 11120 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 48.

47047677600 divided by its sum of digits (48) gives a triangular number (980159950 = T₄₄₂₇₅).

The spelling of 47047677600 in words is "forty-seven billion, forty-seven million, six hundred seventy-seven thousand, six hundred".