47393782824960 has 1632 divisors, whose sum is σ = 197800433078976. Its totient is φ = 10343153664000.

The previous prime is 47393782824959. The next prime is 47393782825139. The reversal of 47393782824960 is 6942828739374.

47393782824960 is a `hidden beast` number, since 4 + 7 + 3 + 9 + 378 + 2 + 8 + 249 + 6 + 0 = 666.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17290689190 + ... + 17290691930.

Almost surely, 2^{47393782824960} is an apocalyptic number.

47393782824960 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 47393782824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98900216539488).

47393782824960 is an abundant number, since it is smaller than the sum of its proper divisors (150406650254016).

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

47393782824960 is a wasteful number, since it uses less digits than its factorization.

47393782824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 47393782824960 in words is "forty-seven trillion, three hundred ninety-three billion, seven hundred eighty-two million, eight hundred twenty-four thousand, nine hundred sixty".