6225551640 has 576 divisors, whose sum is σ = 26934223680. Its totient is φ = 1216512000.

The previous prime is 6225551593. The next prime is 6225551659. The reversal of 6225551640 is 461555226.

6225551640 = 8782² + 8783² + ... + 8861².

6225551640 is a `hidden beast` number, since 6 + 2 + 2 + 5 + 5 + 5 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6225551595 and 6225551604.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 5183040 + ... + 5184240.

It is an arithmetic number, because the mean of its divisors is an integer number (46760805).

Almost surely, 2^6225551640 is an apocalyptic number.

6225551640 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 6225551640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13467111840).

6225551640 is an abundant number, since it is smaller than the sum of its proper divisors (20708672040).

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

6225551640 is a wasteful number, since it uses less digits than its factorization.

6225551640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 6225551640 is about 78902.1649893081. The cubic root of 6225551640 is about 1839.6107833014.

The spelling of 6225551640 in words is "six billion, two hundred twenty-five million, five hundred fifty-one thousand, six hundred forty".