6839145600 has 768 divisors, whose sum is σ = 27522048000. Its totient is φ = 1490227200.

The previous prime is 6839145583. The next prime is 6839145647. The reversal of 6839145600 is 65419386.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102076767 + ... + 102076833.

It is an arithmetic number, because the mean of its divisors is an integer number (35836000).

Almost surely, 2^6839145600 is an apocalyptic number.

6839145600 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 6839145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13761024000).

6839145600 is an abundant number, since it is smaller than the sum of its proper divisors (20682902400).

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

6839145600 is a wasteful number, since it uses less digits than its factorization.

6839145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 6839145600 is about 82699.1269603253. The cubic root of 6839145600 is about 1898.1649503193.

The spelling of 6839145600 in words is "six billion, eight hundred thirty-nine million, one hundred forty-five thousand, six hundred".