6786996480 has 540 divisors, whose sum is σ = 26742896796. Its totient is φ = 1642291200.

The previous prime is 6786996427. The next prime is 6786996481. The reversal of 6786996480 is 846996876.

6786996480 is a `hidden beast` number, since 6 + 7 + 8 + 69 + 96 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2569273344 + 4217723136 = 50688^2 + 64944^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is not an unprimeable number, because it can be changed into a prime (6786996481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12545010 + ... + 12545550.

Almost surely, 2^6786996480 is an apocalyptic number.

6786996480 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 6786996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13371448398).

6786996480 is an abundant number, since it is smaller than the sum of its proper divisors (19955900316).

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

6786996480 is a wasteful number, since it uses less digits than its factorization.

6786996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The square root of 6786996480 is about 82383.2293613209. The cubic root of 6786996480 is about 1893.3280742211.

The spelling of 6786996480 in words is "six billion, seven hundred eighty-six million, nine hundred ninety-six thousand, four hundred eighty".