6782985432576 has 800 divisors, whose sum is σ = 21939560349696. Its totient is φ = 2080235520000.

The previous prime is 6782985432569. The next prime is 6782985432661. The reversal of 6782985432576 is 6752345892876.

6782985432576 is a `hidden beast` number, since 6 + 7 + 8 + 2 + 9 + 8 + 5 + 43 + 2 + 576 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5647780776 + ... + 5647781976.

Almost surely, 2^{6782985432576} 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 6782985432576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10969780174848).

6782985432576 is an abundant number, since it is smaller than the sum of its proper divisors (15156574917120).

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

6782985432576 is a wasteful number, since it uses less digits than its factorization.

6782985432576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1451 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 72.

The spelling of 6782985432576 in words is "six trillion, seven hundred eighty-two billion, nine hundred eighty-five million, four hundred thirty-two thousand, five hundred seventy-six".