47982768906240 has 1680 divisors, whose sum is σ = 206577521783424. Its totient is φ = 10612585267200.

The previous prime is 47982768906113. The next prime is 47982768906253. The reversal of 47982768906240 is 4260986728974.

47982768906240 is a `hidden beast` number, since 479 + 8 + 2 + 7 + 6 + 8 + 90 + 62 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×47982768906240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5039672680 + ... + 5039682200.

Almost surely, 2^{47982768906240} is an apocalyptic number.

47982768906240 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 47982768906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103288760891712).

47982768906240 is an abundant number, since it is smaller than the sum of its proper divisors (158594752877184).

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

47982768906240 is an equidigital number, since it uses as much as digits as its factorization.

47982768906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9609 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 47982768906240 in words is "forty-seven trillion, nine hundred eighty-two billion, seven hundred sixty-eight million, nine hundred six thousand, two hundred forty".