4672423421952 has 768 divisors, whose sum is σ = 15903433728000. Its totient is φ = 1198109491200.

The previous prime is 4672423421881. The next prime is 4672423421989. The reversal of 4672423421952 is 2591243242764.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 4672423421895 and 4672423421904.

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, 517486174 + ... + 517495202.

It is an arithmetic number, because the mean of its divisors is an integer number (20707596000).

Almost surely, 2^{4672423421952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4672423421952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7951716864000).

4672423421952 is an abundant number, since it is smaller than the sum of its proper divisors (11231010306048).

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

4672423421952 is a wasteful number, since it uses less digits than its factorization.

4672423421952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9128 (or 9108 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 51.

The spelling of 4672423421952 in words is "four trillion, six hundred seventy-two billion, four hundred twenty-three million, four hundred twenty-one thousand, nine hundred fifty-two".