47679559200 has 1152 divisors, whose sum is σ = 215026237440. Its totient is φ = 9928396800.

The previous prime is 47679559183. The next prime is 47679559211. The reversal of 47679559200 is 295597674.

47679559200 is a `hidden beast` number, since 4 + 7 + 67 + 9 + 559 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 249631105 + ... + 249631295.

It is an arithmetic number, because the mean of its divisors is an integer number (186654720).

Almost surely, 2^47679559200 is an apocalyptic number.

47679559200 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 47679559200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107513118720).

47679559200 is an abundant number, since it is smaller than the sum of its proper divisors (167346678240).

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

47679559200 is a wasteful number, since it uses less digits than its factorization.

47679559200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 47679559200 in words is "forty-seven billion, six hundred seventy-nine million, five hundred fifty-nine thousand, two hundred".