6830006400 has 768 divisors, whose sum is σ = 29869516800. Its totient is φ = 1490227200.

The previous prime is 6830006327. The next prime is 6830006401. The reversal of 6830006400 is 46000386.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6830006401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13910155 + ... + 13910645.

It is an arithmetic number, because the mean of its divisors is an integer number (38892600).

Almost surely, 2^6830006400 is an apocalyptic number.

6830006400 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 6830006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14934758400).

6830006400 is an abundant number, since it is smaller than the sum of its proper divisors (23039510400).

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

6830006400 is a wasteful number, since it uses less digits than its factorization.

6830006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6830006400 is about 82643.8527659499. The cubic root of 6830006400 is about 1897.3190628765.

Adding to 6830006400 its reverse (46000386), we get a palindrome (6876006786).

The spelling of 6830006400 in words is "six billion, eight hundred thirty million, six thousand, four hundred".