47673489600 has 1008 divisors, whose sum is σ = 195630978816. Its totient is φ = 11321856000.

The previous prime is 47673489583. The next prime is 47673489601. The reversal of 47673489600 is 698437674.

It is a happy number.

47673489600 is a `hidden beast` number, since 47 + 67 + 3 + 489 + 60 + 0 = 666.

It is a super-2 number, since 2×47673489600² (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 not an unprimeable number, because it can be changed into a prime (47673489601) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 303652722 + ... + 303652878.

It is an arithmetic number, because the mean of its divisors is an integer number (194078352).

Almost surely, 2^47673489600 is an apocalyptic number.

47673489600 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 47673489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97815489408).

47673489600 is an abundant number, since it is smaller than the sum of its proper divisors (147957489216).

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

47673489600 is a wasteful number, since it uses less digits than its factorization.

47673489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 47673489600 in words is "forty-seven billion, six hundred seventy-three million, four hundred eighty-nine thousand, six hundred".