5377685760 has 216 divisors, whose sum is σ = 19249022520. Its totient is φ = 1384513536.

The previous prime is 5377685741. The next prime is 5377685771. The reversal of 5377685760 is 675867735.

5377685760 is a `hidden beast` number, since 5 + 3 + 7 + 7 + 68 + 576 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 712249344 + 4665436416 = 26688^2 + 68304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5377685697 and 5377685706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326032 + ... + 342128.

It is an arithmetic number, because the mean of its divisors is an integer number (89115845).

Almost surely, 2^5377685760 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 5377685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9624511260).

5377685760 is an abundant number, since it is smaller than the sum of its proper divisors (13871336760).

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

5377685760 is a wasteful number, since it uses less digits than its factorization.

5377685760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16153 (or 16136 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The square root of 5377685760 is about 73332.7059367101. The cubic root of 5377685760 is about 1751.9907424293.

The spelling of 5377685760 in words is "five billion, three hundred seventy-seven million, six hundred eighty-five thousand, seven hundred sixty".