6227453456640 has 648 divisors, whose sum is σ = 24095401221528. Its totient is φ = 1532884746240.

The previous prime is 6227453456629. The next prime is 6227453456647. The reversal of 6227453456640 is 466543547226.

6227453456640 is a `hidden beast` number, since 6 + 2 + 2 + 7 + 4 + 5 + 34 + 566 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29265629184 + 6198187827456 = 171072^2 + 2489616^2 .

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6227453456647) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109146520 + ... + 109203560.

Almost surely, 2^{6227453456640} is an apocalyptic number.

6227453456640 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 6227453456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12047700610764).

6227453456640 is an abundant number, since it is smaller than the sum of its proper divisors (17867947764888).

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

6227453456640 is an frugal number, since it uses more digits than its factorization.

6227453456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57099 (or 57064 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 6227453456640 in words is "six trillion, two hundred twenty-seven billion, four hundred fifty-three million, four hundred fifty-six thousand, six hundred forty".