6438929952 has 192 divisors, whose sum is σ = 21311265024. Its totient is φ = 1656668160.

The previous prime is 6438929933. The next prime is 6438929963. The reversal of 6438929952 is 2599298346.

It is a junction number, because it is equal to n+sod(n) for n = 6438929892 and 6438929901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349188 + ... + 367164.

It is an arithmetic number, because the mean of its divisors is an integer number (110996172).

Almost surely, 2^6438929952 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 6438929952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10655632512).

6438929952 is an abundant number, since it is smaller than the sum of its proper divisors (14872335072).

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

6438929952 is a wasteful number, since it uses less digits than its factorization.

6438929952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18051 (or 18043 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 57.

The square root of 6438929952 is about 80242.9433159078. The cubic root of 6438929952 is about 1860.3924434957.

The spelling of 6438929952 in words is "six billion, four hundred thirty-eight million, nine hundred twenty-nine thousand, nine hundred fifty-two".