6782503496976 has 45 divisors (see below), whose sum is σ = 18981677110071. Its totient is φ = 2260824081696.

The previous prime is 6782503496971. The next prime is 6782503496987. The reversal of 6782503496976 is 6796943052876.

The square root of 6782503496976 is 2604324.

It is a perfect power (a square), and thus also a powerful number.

6782503496976 is a `hidden beast` number, since 6 + 7 + 8 + 2 + 503 + 49 + 6 + 9 + 76 = 666.

It is a super-3 number, since 3×6782503496976³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (6782503496971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31143375 + ... + 31360401.

Almost surely, 2^{6782503496976} is an apocalyptic number.

6782503496976 is the 2604324-th square number.

It is an amenable number.

6782503496976 is an abundant number, since it is smaller than the sum of its proper divisors (12199173613095).

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

6782503496976 is an frugal number, since it uses more digits than its factorization.

6782503496976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434068 (or 217032 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 6782503496976 in words is "six trillion, seven hundred eighty-two billion, five hundred three million, four hundred ninety-six thousand, nine hundred seventy-six".