6830384356800 has 252 divisors, whose sum is σ = 25175940860616. Its totient is φ = 1821435724800.

The previous prime is 6830384356799. The next prime is 6830384356801. The reversal of 6830384356800 is 86534830386.

6830384356800 is a `hidden beast` number, since 6 + 8 + 3 + 0 + 38 + 43 + 568 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6830384356799) and next prime (6830384356801).

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 (6830384356801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8395131 + ... + 9172730.

Almost surely, 2^{6830384356800} is an apocalyptic number.

6830384356800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6830384356800 is an abundant number, since it is smaller than the sum of its proper divisors (18345556503816).

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

6830384356800 is a wasteful number, since it uses less digits than its factorization.

6830384356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17567898 (or 17567871 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 6830384356800 in words is "six trillion, eight hundred thirty billion, three hundred eighty-four million, three hundred fifty-six thousand, eight hundred".