7198845840 has 560 divisors, whose sum is σ = 27269580528. Its totient is φ = 1759739904.

The previous prime is 7198845833. The next prime is 7198845847. The reversal of 7198845840 is 485488917.

7198845840 is a `hidden beast` number, since 71 + 9 + 88 + 458 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (7198845833) and next prime (7198845847).

It can be written as a sum of positive squares in 8 ways, for example, as 390615696 + 6808230144 = 19764^2 + 82512^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7198845847) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 52546252 + ... + 52546388.

Almost surely, 2^7198845840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7198845840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13634790264).

7198845840 is an abundant number, since it is smaller than the sum of its proper divisors (20070734688).

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

7198845840 is a wasteful number, since it uses less digits than its factorization.

7198845840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The square root of 7198845840 is about 84846.0125167942. The cubic root of 7198845840 is about 1930.8755850654.

The spelling of 7198845840 in words is "seven billion, one hundred ninety-eight million, eight hundred forty-five thousand, eight hundred forty".