5794951680 has 960 divisors, whose sum is σ = 25190352000. Its totient is φ = 1257209856.

The previous prime is 5794951661. The next prime is 5794951693. The reversal of 5794951680 is 861594975.

5794951680 is a `hidden beast` number, since 5 + 7 + 9 + 49 + 516 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98219491 + ... + 98219549.

It is an arithmetic number, because the mean of its divisors is an integer number (26239950).

Almost surely, 2^5794951680 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 5794951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12595176000).

5794951680 is an abundant number, since it is smaller than the sum of its proper divisors (19395400320).

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

5794951680 is a wasteful number, since it uses less digits than its factorization.

5794951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 5794951680 is about 76124.5799988414. The cubic root of 5794951680 is about 1796.1803447521.

The spelling of 5794951680 in words is "five billion, seven hundred ninety-four million, nine hundred fifty-one thousand, six hundred eighty".