5364470507760 has 1440 divisors, whose sum is σ = 24339577167360. Its totient is φ = 1072186232832.

The previous prime is 5364470507729. The next prime is 5364470507761. The reversal of 5364470507760 is 677050744635.

It is a happy number.

5364470507760 is a `hidden beast` number, since 5 + 3 + 6 + 4 + 4 + 70 + 507 + 7 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5364470507697 and 5364470507706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5364470507761) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 436946742 + ... + 436959018.

It is an arithmetic number, because the mean of its divisors is an integer number (16902484144).

Almost surely, 2^{5364470507760} 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 5364470507760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12169788583680).

5364470507760 is an abundant number, since it is smaller than the sum of its proper divisors (18975106659600).

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

5364470507760 is a wasteful number, since it uses less digits than its factorization.

5364470507760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12357 (or 12326 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 54.

The spelling of 5364470507760 in words is "five trillion, three hundred sixty-four billion, four hundred seventy million, five hundred seven thousand, seven hundred sixty".