7198663842720 has 1152 divisors, whose sum is σ = 30820431882240. Its totient is φ = 1551651655680.

The previous prime is 7198663842703. The next prime is 7198663842791. The reversal of 7198663842720 is 272483668917.

7198663842720 is a `hidden beast` number, since 7 + 198 + 66 + 384 + 2 + 7 + 2 + 0 = 666.

It is a super-3 number, since 3×7198663842720³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 339372915 + ... + 339394125.

It is an arithmetic number, because the mean of its divisors is an integer number (26753847120).

Almost surely, 2^{7198663842720} is an apocalyptic number.

7198663842720 is a gapful number since it is divisible by the number (70) 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 7198663842720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410215941120).

7198663842720 is an abundant number, since it is smaller than the sum of its proper divisors (23621768039520).

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

7198663842720 is a wasteful number, since it uses less digits than its factorization.

7198663842720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21320 (or 21300 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 7198663842720 in words is "seven trillion, one hundred ninety-eight billion, six hundred sixty-three million, eight hundred forty-two thousand, seven hundred twenty".