6738122952 has 192 divisors, whose sum is σ = 20361107520. Its totient is φ = 1995840000.

The previous prime is 6738122903. The next prime is 6738122953. The reversal of 6738122952 is 2592218376.

It is a junction number, because it is equal to n+sod(n) for n = 6738122898 and 6738122907.

It is not an unprimeable number, because it can be changed into a prime (6738122953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10193502 + ... + 10194162.

It is an arithmetic number, because the mean of its divisors is an integer number (106047435).

Almost surely, 2^6738122952 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 6738122952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10180553760).

6738122952 is an abundant number, since it is smaller than the sum of its proper divisors (13622984568).

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

6738122952 is a wasteful number, since it uses less digits than its factorization.

6738122952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 949 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 6738122952 is about 82086.0703895612. The cubic root of 6738122952 is about 1888.7724690528.

The spelling of 6738122952 in words is "six billion, seven hundred thirty-eight million, one hundred twenty-two thousand, nine hundred fifty-two".