6098319360 has 768 divisors, whose sum is σ = 26040268800. Its totient is φ = 1323565056.

The previous prime is 6098319319. The next prime is 6098319397. The reversal of 6098319360 is 639138906.

6098319360 is a `hidden beast` number, since 609 + 8 + 3 + 1 + 9 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 44513212 + ... + 44513348.

It is an arithmetic number, because the mean of its divisors is an integer number (33906600).

Almost surely, 2^6098319360 is an apocalyptic number.

6098319360 is a gapful number since it is divisible by the number (60) 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 6098319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13020134400).

6098319360 is an abundant number, since it is smaller than the sum of its proper divisors (19941949440).

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

6098319360 is a wasteful number, since it uses less digits than its factorization.

6098319360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 6098319360 is about 78091.7368227907. The cubic root of 6098319360 is about 1826.9923182585.

The spelling of 6098319360 in words is "six billion, ninety-eight million, three hundred nineteen thousand, three hundred sixty".