5640268308480 has 1120 divisors, whose sum is σ = 21904287517728. Its totient is φ = 1380188160000.

The previous prime is 5640268308457. The next prime is 5640268308487. The reversal of 5640268308480 is 848038620465.

5640268308480 is a `hidden beast` number, since 5 + 6 + 402 + 6 + 83 + 0 + 84 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5640268308487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10825850620 + ... + 10825851140.

Almost surely, 2^{5640268308480} 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 5640268308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10952143758864).

5640268308480 is an abundant number, since it is smaller than the sum of its proper divisors (16264019209248).

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

5640268308480 is a wasteful number, since it uses less digits than its factorization.

5640268308480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 5640268308480 in words is "five trillion, six hundred forty billion, two hundred sixty-eight million, three hundred eight thousand, four hundred eighty".