6794361600 has 432 divisors, whose sum is σ = 24441268992. Its totient is φ = 1652244480.

The previous prime is 6794361569. The next prime is 6794361619. The reversal of 6794361600 is 61634976.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40684717 + ... + 40684883.

Almost surely, 2^6794361600 is an apocalyptic number.

6794361600 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 6794361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12220634496).

6794361600 is an abundant number, since it is smaller than the sum of its proper divisors (17646907392).

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

6794361600 is a wasteful number, since it uses less digits than its factorization.

6794361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 6794361600 is about 82427.9176007741. The cubic root of 6794361600 is about 1894.0126945541.

The spelling of 6794361600 in words is "six billion, seven hundred ninety-four million, three hundred sixty-one thousand, six hundred".