47307405600 has 864 divisors, whose sum is σ = 207603212544. Its totient is φ = 9870336000.

The previous prime is 47307405581. The next prime is 47307405611. The reversal of 47307405600 is 650470374.

47307405600 is a `hidden beast` number, since 4 + 7 + 3 + 0 + 7 + 40 + 5 + 600 = 666.

It is a super-2 number, since 2×47307405600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 67485250 + ... + 67485950.

It is an arithmetic number, because the mean of its divisors is an integer number (240281496).

Almost surely, 2^47307405600 is an apocalyptic number.

47307405600 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 47307405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103801606272).

47307405600 is an abundant number, since it is smaller than the sum of its proper divisors (160295806944).

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

47307405600 is a wasteful number, since it uses less digits than its factorization.

47307405600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

Adding to 47307405600 its reverse (650470374), we get a palindrome (47957875974).

The spelling of 47307405600 in words is "forty-seven billion, three hundred seven million, four hundred five thousand, six hundred".