6883142400 has 432 divisors, whose sum is σ = 25692834720. Its totient is φ = 1802649600.

The previous prime is 6883142389. The next prime is 6883142419. The reversal of 6883142400 is 42413886.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10540474 + ... + 10541126.

Almost surely, 2^6883142400 is an apocalyptic number.

6883142400 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 6883142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12846417360).

6883142400 is an abundant number, since it is smaller than the sum of its proper divisors (18809692320).

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

6883142400 is a wasteful number, since it uses less digits than its factorization.

6883142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6883142400 is about 82964.7057488906. The cubic root of 6883142400 is about 1902.2266047718.

The spelling of 6883142400 in words is "six billion, eight hundred eighty-three million, one hundred forty-two thousand, four hundred".