6227504640 has 640 divisors, whose sum is σ = 25816919040. Its totient is φ = 1393459200.

The previous prime is 6227504639. The next prime is 6227504641. The reversal of 6227504640 is 464057226.

6227504640 is a `hidden beast` number, since 6 + 2 + 2 + 7 + 5 + 0 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (6227504639) and next prime (6227504641).

It is a tau number, because it is divible by the number of its divisors (640).

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 = 6227504595 and 6227504604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6227504641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29514135 + ... + 29514345.

It is an arithmetic number, because the mean of its divisors is an integer number (40338936).

Almost surely, 2^6227504640 is an apocalyptic number.

6227504640 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 6227504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12908459520).

6227504640 is an abundant number, since it is smaller than the sum of its proper divisors (19589414400).

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

6227504640 is a wasteful number, since it uses less digits than its factorization.

6227504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 6227504640 is about 78914.5401051036. The cubic root of 6227504640 is about 1839.8031295352.

The spelling of 6227504640 in words is "six billion, two hundred twenty-seven million, five hundred four thousand, six hundred forty".