6198549840000 has 1280 divisors, whose sum is σ = 26271635385600. Its totient is φ = 1408942080000.

The previous prime is 6198549839971. The next prime is 6198549840001. The reversal of 6198549840000 is 489458916.

6198549840000 is a `hidden beast` number, since 6 + 1 + 98 + 549 + 8 + 4 + 0 + 0 + 0 + 0 = 666.

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 (6198549840001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2978638960 + ... + 2978641040.

It is an arithmetic number, because the mean of its divisors is an integer number (20524715145).

Almost surely, 2^{6198549840000} is an apocalyptic number.

6198549840000 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 6198549840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13135817692800).

6198549840000 is an abundant number, since it is smaller than the sum of its proper divisors (20073085545600).

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

6198549840000 is a wasteful number, since it uses less digits than its factorization.

6198549840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 6198549840000 in words is "six trillion, one hundred ninety-eight billion, five hundred forty-nine million, eight hundred forty thousand".