6016384640 has 128 divisors (see below), whose sum is σ = 16773696000. Its totient is φ = 2062685184.

The previous prime is 6016384553. The next prime is 6016384663. The reversal of 6016384640 is 464836106.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 6016384594 and 6016384603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205817 + ... + 233223.

It is an arithmetic number, because the mean of its divisors is an integer number (131044500).

Almost surely, 2^6016384640 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 6016384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8386848000).

6016384640 is an abundant number, since it is smaller than the sum of its proper divisors (10757311360).

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

6016384640 is an equidigital number, since it uses as much as digits as its factorization.

6016384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27447 (or 27421 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 6016384640 is about 77565.3572157055. The cubic root of 6016384640 is about 1818.7731376547.

The spelling of 6016384640 in words is "six billion, sixteen million, three hundred eighty-four thousand, six hundred forty".