5819793408 has 544 divisors, whose sum is σ = 21139130880. Its totient is φ = 1557135360.

The previous prime is 5819793373. The next prime is 5819793437. The reversal of 5819793408 is 8043979185.

It is a super-3 number, since 3×5819793408³ (a number of 30 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 253034485 + ... + 253034507.

Almost surely, 2^5819793408 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 5819793408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10569565440).

5819793408 is an abundant number, since it is smaller than the sum of its proper divisors (15319337472).

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

5819793408 is a wasteful number, since it uses less digits than its factorization.

5819793408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 5819793408 is about 76287.5704685894. The cubic root of 5819793408 is about 1798.7433005967.

The spelling of 5819793408 in words is "five billion, eight hundred nineteen million, seven hundred ninety-three thousand, four hundred eight".