47773786662000 has 960 divisors, whose sum is σ = 203313152839680. Its totient is φ = 10687360320000.

The previous prime is 47773786661987. The next prime is 47773786662011. The reversal of 47773786662000 is 26668737774.

It is a happy number.

47773786662000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124169925 + ... + 124554075.

It is an arithmetic number, because the mean of its divisors is an integer number (211784534208).

Almost surely, 2^{47773786662000} is an apocalyptic number.

47773786662000 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 47773786662000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101656576419840).

47773786662000 is an abundant number, since it is smaller than the sum of its proper divisors (155539366177680).

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

47773786662000 is a wasteful number, since it uses less digits than its factorization.

47773786662000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384244 (or 384215 counting only the distinct ones).

The product of its (nonzero) digits is 99574272, while the sum is 63.

The spelling of 47773786662000 in words is "forty-seven trillion, seven hundred seventy-three billion, seven hundred eighty-six million, six hundred sixty-two thousand".