6781600864 has 96 divisors (see below), whose sum is σ = 13914464256. Its totient is φ = 3251404800.

The previous prime is 6781600843. The next prime is 6781600873. The reversal of 6781600864 is 4680061876.

It is a happy number.

It is a super-2 number, since 2×6781600864² = 91980220557211092992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26387424 + ... + 26387680.

It is an arithmetic number, because the mean of its divisors is an integer number (144942336).

Almost surely, 2^6781600864 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 6781600864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6957232128).

6781600864 is an abundant number, since it is smaller than the sum of its proper divisors (7132863392).

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

6781600864 is a wasteful number, since it uses less digits than its factorization.

6781600864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 6781600864 is about 82350.4757970469. The cubic root of 6781600864 is about 1892.8262135622.

The spelling of 6781600864 in words is "six billion, seven hundred eighty-one million, six hundred thousand, eight hundred sixty-four".