6829386764672 has 128 divisors (see below), whose sum is σ = 14715902499840. Its totient is φ = 3144667373568.

The previous prime is 6829386764653. The next prime is 6829386764677. The reversal of 6829386764672 is 2764676839286.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×6829386764672³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6829386764672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6829386764677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697796963 + ... + 697806749.

It is an arithmetic number, because the mean of its divisors is an integer number (114967988280).

Almost surely, 2^{6829386764672} 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 6829386764672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7357951249920).

6829386764672 is an abundant number, since it is smaller than the sum of its proper divisors (7886515735168).

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

6829386764672 is a wasteful number, since it uses less digits than its factorization.

6829386764672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16688 (or 16676 counting only the distinct ones).

The product of its digits is 1755758592, while the sum is 74.

The spelling of 6829386764672 in words is "six trillion, eight hundred twenty-nine billion, three hundred eighty-six million, seven hundred sixty-four thousand, six hundred seventy-two".