5293762568640 has 1680 divisors, whose sum is σ = 24464371200192. Its totient is φ = 1057969963008.

The previous prime is 5293762568639. The next prime is 5293762568657. The reversal of 5293762568640 is 468652673925.

5293762568640 is a `hidden beast` number, since 5 + 2 + 9 + 3 + 7 + 6 + 2 + 568 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×5293762568640² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 851494812 + ... + 851501028.

Almost surely, 2^{5293762568640} 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 5293762568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12232185600096).

5293762568640 is an abundant number, since it is smaller than the sum of its proper divisors (19170608631552).

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

5293762568640 is a wasteful number, since it uses less digits than its factorization.

5293762568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6304 (or 6266 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 5293762568640 in words is "five trillion, two hundred ninety-three billion, seven hundred sixty-two million, five hundred sixty-eight thousand, six hundred forty".