6264945243648 has 1600 divisors, whose sum is σ = 24828215892480. Its totient is φ = 1526435020800.

The previous prime is 6264945243593. The next prime is 6264945243649. The reversal of 6264945243648 is 8463425494626.

6264945243648 is a `hidden beast` number, since 6 + 2 + 6 + 49 + 4 + 524 + 3 + 64 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6264945243649) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2939907543 + ... + 2939909673.

Almost surely, 2^{6264945243648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6264945243648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12414107946240).

6264945243648 is an abundant number, since it is smaller than the sum of its proper divisors (18563270648832).

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

6264945243648 is a wasteful number, since it uses less digits than its factorization.

6264945243648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2216 counting only the distinct ones).

The product of its digits is 238878720, while the sum is 63.

The spelling of 6264945243648 in words is "six trillion, two hundred sixty-four billion, nine hundred forty-five million, two hundred forty-three thousand, six hundred forty-eight".