6679929600 has 864 divisors, whose sum is σ = 26764953600. Its totient is φ = 1625702400.

The previous prime is 6679929563. The next prime is 6679929647. The reversal of 6679929600 is 69299766.

It is a happy number.

6679929600 is a `hidden beast` number, since 6 + 6 + 7 + 9 + 9 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155347179 + ... + 155347221.

Almost surely, 2^6679929600 is an apocalyptic number.

6679929600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6679929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13382476800).

6679929600 is an abundant number, since it is smaller than the sum of its proper divisors (20085024000).

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

6679929600 is a wasteful number, since it uses less digits than its factorization.

6679929600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 6679929600 is about 81730.8362859453. The cubic root of 6679929600 is about 1883.3193208206.

The spelling of 6679929600 in words is "six billion, six hundred seventy-nine million, nine hundred twenty-nine thousand, six hundred".