47724840199680 has 1280 divisors, whose sum is σ = 191968513228800. Its totient is φ = 9862116802560.

The previous prime is 47724840199571. The next prime is 47724840199681. The reversal of 47724840199680 is 8699104842774.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47724840199681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11253202360 + ... + 11253206600.

It is an arithmetic number, because the mean of its divisors is an integer number (149975400960).

Almost surely, 2^{47724840199680} is an apocalyptic number.

47724840199680 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 47724840199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95984256614400).

47724840199680 is an abundant number, since it is smaller than the sum of its proper divisors (144243673029120).

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

47724840199680 is a wasteful number, since it uses less digits than its factorization.

47724840199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4795 (or 4779 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 69.

The spelling of 47724840199680 in words is "forty-seven trillion, seven hundred twenty-four billion, eight hundred forty million, one hundred ninety-nine thousand, six hundred eighty".