5793769408 has 224 divisors, whose sum is σ = 14630400000. Its totient is φ = 2266500096.

The previous prime is 5793769403. The next prime is 5793769441. The reversal of 5793769408 is 8049673975.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5793769403) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12095313 + ... + 12095791.

Almost surely, 2^5793769408 is an apocalyptic number.

5793769408 is a gapful number since it is divisible by the number (58) 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 5793769408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315200000).

5793769408 is an abundant number, since it is smaller than the sum of its proper divisors (8836630592).

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

5793769408 is a wasteful number, since it uses less digits than its factorization.

5793769408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 58.

The square root of 5793769408 is about 76116.8142265558. The cubic root of 5793769408 is about 1796.0581856570.

The spelling of 5793769408 in words is "five billion, seven hundred ninety-three million, seven hundred sixty-nine thousand, four hundred eight".