5364828149760 has 384 divisors, whose sum is σ = 19088900812800. Its totient is φ = 1429224652800.

The previous prime is 5364828149753. The next prime is 5364828149809. The reversal of 5364828149760 is 679418284635.

5364828149760 is a `hidden beast` number, since 5 + 3 + 6 + 4 + 8 + 2 + 81 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300524835 + ... + 300542685.

It is an arithmetic number, because the mean of its divisors is an integer number (49710679200).

It is a 1-persistent number, because it is pandigital, but 2⋅5364828149760 = 10729656299520 is not.

Almost surely, 2^{5364828149760} 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 5364828149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9544450406400).

5364828149760 is an abundant number, since it is smaller than the sum of its proper divisors (13724072663040).

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

5364828149760 is a wasteful number, since it uses less digits than its factorization.

5364828149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18974 (or 18948 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 5364828149760 in words is "five trillion, three hundred sixty-four billion, eight hundred twenty-eight million, one hundred forty-nine thousand, seven hundred sixty".