6198313680 has 240 divisors, whose sum is σ = 22498716240. Its totient is φ = 1520197632.

The previous prime is 6198313673. The next prime is 6198313697. The reversal of 6198313680 is 863138916.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 623600784 + 5574712896 = 24972^2 + 74664^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 2966076 + ... + 2968164.

It is an arithmetic number, because the mean of its divisors is an integer number (93744651).

Almost surely, 2^6198313680 is an apocalyptic number.

6198313680 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 6198313680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249358120).

6198313680 is an abundant number, since it is smaller than the sum of its proper divisors (16300402560).

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

6198313680 is a wasteful number, since it uses less digits than its factorization.

6198313680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 6198313680 is about 78729.3698691918. The cubic root of 6198313680 is about 1836.9239799366.

The spelling of 6198313680 in words is "six billion, one hundred ninety-eight million, three hundred thirteen thousand, six hundred eighty".