6226945920 has 384 divisors, whose sum is σ = 23363907840. Its totient is φ = 1519091712.

The previous prime is 6226945919. The next prime is 6226945931. The reversal of 6226945920 is 295496226.

It is a Cunningham number, because it is equal to 78911²-1.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 10258257 + ... + 10258863.

It is an arithmetic number, because the mean of its divisors is an integer number (60843510).

Almost surely, 2^6226945920 is an apocalyptic number.

6226945920 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 6226945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11681953920).

6226945920 is an abundant number, since it is smaller than the sum of its proper divisors (17136961920).

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

6226945920 is a wasteful number, since it uses less digits than its factorization.

6226945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 6226945920 is about 78910.9999936637. Note that the first 5 decimals coincide. The cubic root of 6226945920 is about 1839.7481066646.

The spelling of 6226945920 in words is "six billion, two hundred twenty-six million, nine hundred forty-five thousand, nine hundred twenty".