47600990236800 has 3072 divisors, whose sum is σ = 234625782988800. Its totient is φ = 9101942784000.

The previous prime is 47600990236739. The next prime is 47600990236801. The reversal of 47600990236800 is 863209900674.

It is a happy number.

47600990236800 is a `hidden beast` number, since 4 + 7 + 600 + 9 + 9 + 0 + 23 + 6 + 8 + 0 + 0 = 666.

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 (47600990236801) 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 383 ways as a sum of consecutive naturals, for example, 37275637762 + ... + 37275639038.

It is an arithmetic number, because the mean of its divisors is an integer number (76375580400).

Almost surely, 2^{47600990236800} is an apocalyptic number.

47600990236800 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 47600990236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117312891494400).

47600990236800 is an abundant number, since it is smaller than the sum of its proper divisors (187024792752000).

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

47600990236800 is a wasteful number, since it uses less digits than its factorization.

47600990236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 47600990236800 in words is "forty-seven trillion, six hundred billion, nine hundred ninety million, two hundred thirty-six thousand, eight hundred".