6351791600 has 360 divisors, whose sum is σ = 20516396688. Its totient is φ = 1862246400.

The previous prime is 6351791581. The next prime is 6351791623. The reversal of 6351791600 is 61971536.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3664334 + ... + 3666066.

Almost surely, 2^6351791600 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 6351791600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10258198344).

6351791600 is an abundant number, since it is smaller than the sum of its proper divisors (14164605088).

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

6351791600 is a wasteful number, since it uses less digits than its factorization.

6351791600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 6351791600 is about 79698.1279579389. The cubic root of 6351791600 is about 1851.9620381983.

The spelling of 6351791600 in words is "six billion, three hundred fifty-one million, seven hundred ninety-one thousand, six hundred".