47736337564800 has 2304 divisors, whose sum is σ = 197395615872000. Its totient is φ = 11335093862400.

The previous prime is 47736337564789. The next prime is 47736337564841. The reversal of 47736337564800 is 846573363774.

It is a happy number.

47736337564800 is a `hidden beast` number, since 4 + 7 + 7 + 3 + 63 + 3 + 7 + 564 + 8 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20048859610 + ... + 20048861990.

It is an arithmetic number, because the mean of its divisors is an integer number (85675180500).

Almost surely, 2^{47736337564800} is an apocalyptic number.

47736337564800 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 47736337564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98697807936000).

47736337564800 is an abundant number, since it is smaller than the sum of its proper divisors (149659278307200).

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

47736337564800 is a wasteful number, since it uses less digits than its factorization.

47736337564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 63.

The spelling of 47736337564800 in words is "forty-seven trillion, seven hundred thirty-six billion, three hundred thirty-seven million, five hundred sixty-four thousand, eight hundred".