47780341015680 has 4480 divisors, whose sum is σ = 228995512769520. Its totient is φ = 9438958190592.

The previous prime is 47780341015679. The next prime is 47780341015733. The reversal of 47780341015680 is 8651014308774.

47780341015680 is a `hidden beast` number, since 4 + 7 + 78 + 0 + 3 + 4 + 1 + 0 + 1 + 568 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12273138916416 + 35507202099264 = 3503304^2 + 5958792^2 .

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 559 ways as a sum of consecutive naturals, for example, 247566533664 + ... + 247566533856.

Almost surely, 2^{47780341015680} is an apocalyptic number.

47780341015680 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 47780341015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114497756384760).

47780341015680 is an abundant number, since it is smaller than the sum of its proper divisors (181215171753840).

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

47780341015680 is an equidigital number, since it uses as much as digits as its factorization.

47780341015680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 47780341015680 in words is "forty-seven trillion, seven hundred eighty billion, three hundred forty-one million, fifteen thousand, six hundred eighty".