6952256416 has 144 divisors (see below), whose sum is σ = 16558359552. Its totient is φ = 2861913600.

The previous prime is 6952256401. The next prime is 6952256453. The reversal of 6952256416 is 6146522596.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7631001 + ... + 7631911.

It is an arithmetic number, because the mean of its divisors is an integer number (114988608).

Almost surely, 2^6952256416 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 6952256416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8279179776).

6952256416 is an abundant number, since it is smaller than the sum of its proper divisors (9606103136).

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

6952256416 is a wasteful number, since it uses less digits than its factorization.

6952256416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1108 counting only the distinct ones).

The product of its digits is 777600, while the sum is 46.

The square root of 6952256416 is about 83380.1919882654. The cubic root of 6952256416 is about 1908.5722008418.

The spelling of 6952256416 in words is "six billion, nine hundred fifty-two million, two hundred fifty-six thousand, four hundred sixteen".