6862800000 has 768 divisors, whose sum is σ = 28048204800. Its totient is φ = 1451520000.

The previous prime is 6862799963. The next prime is 6862800013. The reversal of 6862800000 is 82686.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159599979 + ... + 159600021.

It is an arithmetic number, because the mean of its divisors is an integer number (36521100).

Almost surely, 2^6862800000 is an apocalyptic number.

6862800000 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 6862800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14024102400).

6862800000 is an abundant number, since it is smaller than the sum of its proper divisors (21185404800).

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

6862800000 is an equidigital number, since it uses as much as digits as its factorization.

6862800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 6862800000 is about 82842.0183240365. The cubic root of 6862800000 is about 1900.3508124157.

Adding to 6862800000 its reverse (82686), we get a palindrome (6862882686).

The spelling of 6862800000 in words is "six billion, eight hundred sixty-two million, eight hundred thousand".