6890225664 has 512 divisors, whose sum is σ = 24158822400. Its totient is φ = 1698693120.

The previous prime is 6890225597. The next prime is 6890225687. The reversal of 6890225664 is 4665220986.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222265329 + ... + 222265359.

It is an arithmetic number, because the mean of its divisors is an integer number (47185200).

Almost surely, 2^6890225664 is an apocalyptic number.

6890225664 is a gapful number since it is divisible by the number (64) 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 6890225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12079411200).

6890225664 is an abundant number, since it is smaller than the sum of its proper divisors (17268596736).

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

6890225664 is a wasteful number, since it uses less digits than its factorization.

6890225664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 6890225664 is about 83007.3831896898. The cubic root of 6890225664 is about 1902.8788918224.

The spelling of 6890225664 in words is "six billion, eight hundred ninety million, two hundred twenty-five thousand, six hundred sixty-four".