6890214400 has 132 divisors (see below), whose sum is σ = 17670236220. Its totient is φ = 2660761600.

The previous prime is 6890214367. The next prime is 6890214431. The reversal of 6890214400 is 44120986.

It can be written as a sum of positive squares in 6 ways, for example, as 63489024 + 6826725376 = 7968^2 + 82624^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 737760 + ... + 747040.

Almost surely, 2^6890214400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6890214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8835118110).

6890214400 is an abundant number, since it is smaller than the sum of its proper divisors (10780021820).

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

6890214400 is a wasteful number, since it uses less digits than its factorization.

6890214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9340 (or 9317 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 6890214400 is about 83007.3153402759. The cubic root of 6890214400 is about 1902.8778548927.

The spelling of 6890214400 in words is "six billion, eight hundred ninety million, two hundred fourteen thousand, four hundred".