6458098998240 has 576 divisors, whose sum is σ = 22468359094272. Its totient is φ = 1688965632000.

The previous prime is 6458098998203. The next prime is 6458098998259. The reversal of 6458098998240 is 428998908546.

6458098998240 is a `hidden beast` number, since 6 + 458 + 0 + 9 + 8 + 99 + 82 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10639372017 + ... + 10639372623.

It is an arithmetic number, because the mean of its divisors is an integer number (39007567872).

Almost surely, 2^{6458098998240} is an apocalyptic number.

6458098998240 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 6458098998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11234179547136).

6458098998240 is an abundant number, since it is smaller than the sum of its proper divisors (16010260096032).

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

6458098998240 is a wasteful number, since it uses less digits than its factorization.

6458098998240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 6458098998240 in words is "six trillion, four hundred fifty-eight billion, ninety-eight million, nine hundred ninety-eight thousand, two hundred forty".