5838596640 has 480 divisors, whose sum is σ = 21976194240. Its totient is φ = 1455667200.

The previous prime is 5838596609. The next prime is 5838596641. The reversal of 5838596640 is 466958385.

It is a happy number.

5838596640 is a `hidden beast` number, since 5 + 8 + 3 + 8 + 596 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (5838596641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32257350 + ... + 32257530.

It is an arithmetic number, because the mean of its divisors is an integer number (45783738).

Almost surely, 2^5838596640 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 5838596640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10988097120).

5838596640 is an abundant number, since it is smaller than the sum of its proper divisors (16137597600).

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

5838596640 is a wasteful number, since it uses less digits than its factorization.

5838596640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 5838596640 is about 76410.7102440489. The cubic root of 5838596640 is about 1800.6784109449.

The spelling of 5838596640 in words is "five billion, eight hundred thirty-eight million, five hundred ninety-six thousand, six hundred forty".