6399679104 has 1152 divisors, whose sum is σ = 26665329600. Its totient is φ = 1504935936.

The previous prime is 6399679093. The next prime is 6399679147. The reversal of 6399679104 is 4019769936.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 336825207 + ... + 336825225.

Almost surely, 2^6399679104 is an apocalyptic number.

6399679104 is a gapful number since it is divisible by the number (64) 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 6399679104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13332664800).

6399679104 is an abundant number, since it is smaller than the sum of its proper divisors (20265650496).

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

6399679104 is a wasteful number, since it uses less digits than its factorization.

6399679104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 61 counting only the distinct ones).

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

The square root of 6399679104 is about 79997.9943748592. The cubic root of 6399679104 is about 1856.6045023579.

The spelling of 6399679104 in words is "six billion, three hundred ninety-nine million, six hundred seventy-nine thousand, one hundred four".