5365679760 has 400 divisors, whose sum is σ = 22037875200. Its totient is φ = 1183859712.

The previous prime is 5365679747. The next prime is 5365679779. The reversal of 5365679760 is 679765635.

5365679760 is a `hidden beast` number, since 5 + 3 + 6 + 567 + 9 + 76 + 0 = 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 = 5365679697 and 5365679706.

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 79 ways as a sum of consecutive naturals, for example, 1313401 + ... + 1317479.

It is an arithmetic number, because the mean of its divisors is an integer number (55094688).

Almost surely, 2^5365679760 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 5365679760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11018937600).

5365679760 is an abundant number, since it is smaller than the sum of its proper divisors (16672195440).

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

5365679760 is a wasteful number, since it uses less digits than its factorization.

5365679760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The square root of 5365679760 is about 73250.8004051833. The cubic root of 5365679760 is about 1750.6859634625.

The spelling of 5365679760 in words is "five billion, three hundred sixty-five million, six hundred seventy-nine thousand, seven hundred sixty".