47666782800 has 1440 divisors, whose sum is σ = 224255146752. Its totient is φ = 9435709440.

The previous prime is 47666782693. The next prime is 47666782841. The reversal of 47666782800 is 828766674.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 150368242 + ... + 150368558.

Almost surely, 2^47666782800 is an apocalyptic number.

47666782800 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 47666782800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112127573376).

47666782800 is an abundant number, since it is smaller than the sum of its proper divisors (176588363952).

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

47666782800 is a wasteful number, since it uses less digits than its factorization.

47666782800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 47666782800 in words is "forty-seven billion, six hundred sixty-six million, seven hundred eighty-two thousand, eight hundred".