5919769440 has 384 divisors, whose sum is σ = 23288186880. Its totient is φ = 1393514496.

The previous prime is 5919769433. The next prime is 5919769481. The reversal of 5919769440 is 449679195.

It is a happy number.

5919769440 is a `hidden beast` number, since 5 + 9 + 197 + 6 + 9 + 440 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1289389 + ... + 1293971.

It is an arithmetic number, because the mean of its divisors is an integer number (60646320).

Almost surely, 2^5919769440 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 5919769440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11644093440).

5919769440 is an abundant number, since it is smaller than the sum of its proper divisors (17368417440).

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

5919769440 is a wasteful number, since it uses less digits than its factorization.

5919769440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4643 (or 4629 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 5919769440 is about 76940.0379516413. The cubic root of 5919769440 is about 1808.9848544835.

The spelling of 5919769440 in words is "five billion, nine hundred nineteen million, seven hundred sixty-nine thousand, four hundred forty".