47799567728640 has 3840 divisors, whose sum is σ = 228297388032000. Its totient is φ = 9203519324160.

The previous prime is 47799567728581. The next prime is 47799567728683. The reversal of 47799567728640 is 4682776599774.

47799567728640 is a `hidden beast` number, since 4 + 7 + 7 + 9 + 9 + 567 + 7 + 2 + 8 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a self number, because there is not a number n which added to its sum of digits gives 47799567728640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 110903869225 + ... + 110903869655.

It is an arithmetic number, because the mean of its divisors is an integer number (59452444800).

Almost surely, 2^{47799567728640} is an apocalyptic number.

47799567728640 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 47799567728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114148694016000).

47799567728640 is an abundant number, since it is smaller than the sum of its proper divisors (180497820303360).

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

47799567728640 is a wasteful number, since it uses less digits than its factorization.

47799567728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 8961684480, while the sum is 81.

The spelling of 47799567728640 in words is "forty-seven trillion, seven hundred ninety-nine billion, five hundred sixty-seven million, seven hundred twenty-eight thousand, six hundred forty".