7198343792640 has 3456 divisors, whose sum is σ = 34795431740160. Its totient is φ = 1352584396800.

The previous prime is 7198343792597. The next prime is 7198343792669. The reversal of 7198343792640 is 462973438917.

7198343792640 is a `hidden beast` number, since 7 + 198 + 3 + 437 + 9 + 2 + 6 + 4 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 45849323442 + ... + 45849323598.

It is an arithmetic number, because the mean of its divisors is an integer number (10068122610).

Almost surely, 2^{7198343792640} is an apocalyptic number.

7198343792640 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 7198343792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17397715870080).

7198343792640 is an abundant number, since it is smaller than the sum of its proper divisors (27597087947520).

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

7198343792640 is a wasteful number, since it uses less digits than its factorization.

7198343792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 7198343792640 in words is "seven trillion, one hundred ninety-eight billion, three hundred forty-three million, seven hundred ninety-two thousand, six hundred forty".