6679429300512 has 144 divisors (see below), whose sum is σ = 19345681922112. Its totient is φ = 2185477148160.

The previous prime is 6679429300493. The next prime is 6679429300513. The reversal of 6679429300512 is 2150039249766.

6679429300512 is a `hidden beast` number, since 6 + 6 + 7 + 94 + 2 + 9 + 30 + 0 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6679429300512² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6679429300513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8165263 + ... + 8945969.

It is an arithmetic number, because the mean of its divisors is an integer number (134345013348).

Almost surely, 2^{6679429300512} 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 6679429300512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9672840961056).

6679429300512 is an abundant number, since it is smaller than the sum of its proper divisors (12666252621600).

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

6679429300512 is a wasteful number, since it uses less digits than its factorization.

6679429300512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781271 (or 781260 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 6679429300512 in words is "six trillion, six hundred seventy-nine billion, four hundred twenty-nine million, three hundred thousand, five hundred twelve".