6782786401 has 8 divisors (see below), whose sum is σ = 6920570664. Its totient is φ = 6646387200.

The previous prime is 6782786371. The next prime is 6782786407. The reversal of 6782786401 is 1046872876.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3407757376 + 3375029025 = 58376^2 + 58095^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6782786401 - 2¹³ = 6782778209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6782786407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 336370 + ... + 355963.

It is an arithmetic number, because the mean of its divisors is an integer number (865071333).

Almost surely, 2^6782786401 is an apocalyptic number.

It is an amenable number.

6782786401 is a deficient number, since it is larger than the sum of its proper divisors (137784263).

6782786401 is a wasteful number, since it uses less digits than its factorization.

6782786401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692531.

The product of its (nonzero) digits is 903168, while the sum is 49.

The square root of 6782786401 is about 82357.6736011891. The cubic root of 6782786401 is about 1892.9365063384.

The spelling of 6782786401 in words is "six billion, seven hundred eighty-two million, seven hundred eighty-six thousand, four hundred one".