6830958990240 has 960 divisors, whose sum is σ = 30080470210560. Its totient is φ = 1418275215360.

The previous prime is 6830958990211. The next prime is 6830958990263. The reversal of 6830958990240 is 420998590386.

6830958990240 is a `hidden beast` number, since 6 + 8 + 3 + 0 + 9 + 589 + 9 + 0 + 2 + 40 = 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 159 ways as a sum of consecutive naturals, for example, 1875089859 + ... + 1875093501.

It is an arithmetic number, because the mean of its divisors is an integer number (31333823136).

Almost surely, 2^{6830958990240} is an apocalyptic number.

6830958990240 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 6830958990240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15040235105280).

6830958990240 is an abundant number, since it is smaller than the sum of its proper divisors (23249511220320).

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

6830958990240 is a wasteful number, since it uses less digits than its factorization.

6830958990240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5567 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 6830958990240 in words is "six trillion, eight hundred thirty billion, nine hundred fifty-eight million, nine hundred ninety thousand, two hundred forty".