5468762819520 has 4032 divisors, whose sum is σ = 28685620454400. Its totient is φ = 934175047680.

The previous prime is 5468762819497. The next prime is 5468762819521. The reversal of 5468762819520 is 259182678645.

5468762819520 is a `hidden beast` number, since 5 + 4 + 6 + 8 + 76 + 28 + 19 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 (5468762819521) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6518191261 + ... + 6518192099.

It is an arithmetic number, because the mean of its divisors is an integer number (7114489200).

Almost surely, 2^{5468762819520} 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 5468762819520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14342810227200).

5468762819520 is an abundant number, since it is smaller than the sum of its proper divisors (23216857634880).

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

5468762819520 is a wasteful number, since it uses less digits than its factorization.

5468762819520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 5468762819520 in words is "five trillion, four hundred sixty-eight billion, seven hundred sixty-two million, eight hundred nineteen thousand, five hundred twenty".