6788951952 has 80 divisors (see below), whose sum is σ = 18315434880. Its totient is φ = 2162845696.

The previous prime is 6788951933. The next prime is 6788951971. The reversal of 6788951952 is 2591598876.

It is an interprime number because it is at equal distance from previous prime (6788951933) and next prime (6788951971).

It is a super-2 number, since 2×6788951952² = 92179737213129220608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2600824 + ... + 2603432.

It is an arithmetic number, because the mean of its divisors is an integer number (228942936).

Almost surely, 2^6788951952 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 6788951952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9157717440).

6788951952 is an abundant number, since it is smaller than the sum of its proper divisors (11526482928).

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

6788951952 is a wasteful number, since it uses less digits than its factorization.

6788951952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000 (or 4994 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 60.

The square root of 6788951952 is about 82395.0966502255. The cubic root of 6788951952 is about 1893.5098922280.

The spelling of 6788951952 in words is "six billion, seven hundred eighty-eight million, nine hundred fifty-one thousand, nine hundred fifty-two".