6198036480 has 288 divisors, whose sum is σ = 21713491800. Its totient is φ = 1634992128.

The previous prime is 6198036437. The next prime is 6198036521. The reversal of 6198036480 is 846308916.

6198036480 is a `hidden beast` number, since 61 + 9 + 80 + 36 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3810345984 + 2387690496 = 61728^2 + 48864^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10045132 + ... + 10045748.

Almost surely, 2^6198036480 is an apocalyptic number.

6198036480 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 6198036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10856745900).

6198036480 is an abundant number, since it is smaller than the sum of its proper divisors (15515455320).

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

6198036480 is a wasteful number, since it uses less digits than its factorization.

6198036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6198036480 is about 78727.6093883207. The cubic root of 6198036480 is about 1836.8965959876.

The spelling of 6198036480 in words is "six billion, one hundred ninety-eight million, thirty-six thousand, four hundred eighty".