6946605828 has 144 divisors (see below), whose sum is σ = 18837262080. Its totient is φ = 2154442752.

The previous prime is 6946605823. The next prime is 6946605859. The reversal of 6946605828 is 8285066496.

It is a happy number.

6946605828 is a `hidden beast` number, since 6 + 9 + 4 + 6 + 605 + 8 + 28 = 666.

It is a super-3 number, since 3×6946605828³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6946605823) 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, 3286500 + ... + 3288612.

It is an arithmetic number, because the mean of its divisors is an integer number (130814320).

Almost surely, 2^6946605828 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 6946605828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9418631040).

6946605828 is an abundant number, since it is smaller than the sum of its proper divisors (11890656252).

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

6946605828 is a wasteful number, since it uses less digits than its factorization.

6946605828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 6946605828 is about 83346.3006257626. The cubic root of 6946605828 is about 1908.0549837141.

The spelling of 6946605828 in words is "six billion, nine hundred forty-six million, six hundred five thousand, eight hundred twenty-eight".