47683970880 has 448 divisors, whose sum is σ = 190893362688. Its totient is φ = 9814671360.

The previous prime is 47683970827. The next prime is 47683970899. The reversal of 47683970880 is 8807938674.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×47683970880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3575104 + ... + 3588416.

It is an arithmetic number, because the mean of its divisors is an integer number (426101256).

Almost surely, 2^47683970880 is an apocalyptic number.

47683970880 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 47683970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95446681344).

47683970880 is an abundant number, since it is smaller than the sum of its proper divisors (143209391808).

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

47683970880 is a wasteful number, since it uses less digits than its factorization.

47683970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13394 (or 13384 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 47683970880 in words is "forty-seven billion, six hundred eighty-three million, nine hundred seventy thousand, eight hundred eighty".