6890400000 has 864 divisors, whose sum is σ = 28741910400. Its totient is φ = 1612800000.

The previous prime is 6890399981. The next prime is 6890400061. The reversal of 6890400000 is 40986.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×6890400000² = 94955224320000000000, which contains 22 as substring.

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

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, 237599986 + ... + 237600014.

It is an arithmetic number, because the mean of its divisors is an integer number (33266100).

Almost surely, 2^6890400000 is an apocalyptic number.

6890400000 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 6890400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14370955200).

6890400000 is an abundant number, since it is smaller than the sum of its proper divisors (21851510400).

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

6890400000 is an equidigital number, since it uses as much as digits as its factorization.

6890400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6890400000 is about 83008.4333065021. The cubic root of 6890400000 is about 1902.8949405225.

Adding to 6890400000 its reverse (40986), we get a palindrome (6890440986).

The spelling of 6890400000 in words is "six billion, eight hundred ninety million, four hundred thousand".