6767712000 has 720 divisors, whose sum is σ = 28859742912. Its totient is φ = 1542758400.

The previous prime is 6767711989. The next prime is 6767712059. The reversal of 6767712000 is 2177676.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 18143814 + ... + 18144186.

Almost surely, 2^6767712000 is an apocalyptic number.

6767712000 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 6767712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14429871456).

6767712000 is an abundant number, since it is smaller than the sum of its proper divisors (22092030912).

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

6767712000 is an equidigital number, since it uses as much as digits as its factorization.

6767712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 6767712000 is about 82266.1048062931. The cubic root of 6767712000 is about 1891.5331475254.

Adding to 6767712000 its reverse (2177676), we get a palindrome (6769889676).

The spelling of 6767712000 in words is "six billion, seven hundred sixty-seven million, seven hundred twelve thousand".