5177079360 has 560 divisors, whose sum is σ = 20181173760. Its totient is φ = 1254113280.

The previous prime is 5177079353. The next prime is 5177079367. The reversal of 5177079360 is 639707715.

5177079360 is a `hidden beast` number, since 517 + 7 + 0 + 79 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (5177079353) and next prime (5177079367).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5177079367) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13659651 + ... + 13660029.

Almost surely, 2^5177079360 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 5177079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10090586880).

5177079360 is an abundant number, since it is smaller than the sum of its proper divisors (15004094400).

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

5177079360 is a wasteful number, since it uses less digits than its factorization.

5177079360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The square root of 5177079360 is about 71951.9239492593. The cubic root of 5177079360 is about 1729.9289801222.

The spelling of 5177079360 in words is "five billion, one hundred seventy-seven million, seventy-nine thousand, three hundred sixty".