6829146630 has 48 divisors (see below), whose sum is σ = 18690300720. Its totient is φ = 1725257664.

The previous prime is 6829146563. The next prime is 6829146641. The reversal of 6829146630 is 366419286.

6829146630 is a `hidden beast` number, since 6 + 8 + 2 + 9 + 1 + 4 + 6 + 630 = 666.

It is a super-3 number, since 3×6829146630³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1995117 + ... + 1998536.

It is an arithmetic number, because the mean of its divisors is an integer number (389381265).

Almost surely, 2^6829146630 is an apocalyptic number.

6829146630 is an abundant number, since it is smaller than the sum of its proper divisors (11861154090).

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

6829146630 is a wasteful number, since it uses less digits than its factorization.

6829146630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3993685 (or 3993682 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6829146630 is about 82638.6509449422. The cubic root of 6829146630 is about 1897.2394472135.

It can be divided in two parts, 68291 and 46630, that added together give a square (114921 = 339²).

The spelling of 6829146630 in words is "six billion, eight hundred twenty-nine million, one hundred forty-six thousand, six hundred thirty".