6267248640 has 280 divisors, whose sum is σ = 22479769620. Its totient is φ = 1670381568.

The previous prime is 6267248639. The next prime is 6267248651. The reversal of 6267248640 is 468427626.

6267248640 is a `hidden beast` number, since 62 + 6 + 72 + 486 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6227103744 + 40144896 = 78912^2 + 6336^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3316816 + ... + 3318704.

Almost surely, 2^6267248640 is an apocalyptic number.

6267248640 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 6267248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11239884810).

6267248640 is an abundant number, since it is smaller than the sum of its proper divisors (16212520980).

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

6267248640 is an equidigital number, since it uses as much as digits as its factorization.

6267248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 6267248640 is about 79165.9563196201. The cubic root of 6267248640 is about 1843.7087137514.

The spelling of 6267248640 in words is "six billion, two hundred sixty-seven million, two hundred forty-eight thousand, six hundred forty".