4673219509728 has 384 divisors, whose sum is σ = 17091796055040. Its totient is φ = 1206803957760.

The previous prime is 4673219509711. The next prime is 4673219509747. The reversal of 4673219509728 is 8279059123764.

4673219509728 is a `hidden beast` number, since 4 + 67 + 32 + 19 + 509 + 7 + 28 = 666.

It is a super-2 number, since 2×4673219509728² (a number of 26 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11306326 + ... + 11712362.

It is an arithmetic number, because the mean of its divisors is an integer number (44509885560).

It is a 1-persistent number, because it is pandigital, but 2⋅4673219509728 = 9346439019456 is not.

Almost surely, 2^{4673219509728} is an apocalyptic number.

4673219509728 is a gapful number since it is divisible by the number (48) 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 4673219509728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8545898027520).

4673219509728 is an abundant number, since it is smaller than the sum of its proper divisors (12418576545312).

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

4673219509728 is a wasteful number, since it uses less digits than its factorization.

4673219509728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406247 (or 406233 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 4673219509728 in words is "four trillion, six hundred seventy-three billion, two hundred nineteen million, five hundred nine thousand, seven hundred twenty-eight".