5679175680 has 480 divisors, whose sum is σ = 20977276320. Its totient is φ = 1468661760.

The previous prime is 5679175657. The next prime is 5679175687. The reversal of 5679175680 is 865719765.

5679175680 is a `hidden beast` number, since 5 + 6 + 79 + 1 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5679175687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34006957 + ... + 34007123.

It is an arithmetic number, because the mean of its divisors is an integer number (43702659).

Almost surely, 2^5679175680 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 5679175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10488638160).

5679175680 is an abundant number, since it is smaller than the sum of its proper divisors (15298100640).

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

5679175680 is a wasteful number, since it uses less digits than its factorization.

5679175680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 5679175680 is about 75360.3057318639. The cubic root of 5679175680 is about 1784.1379638188.

The spelling of 5679175680 in words is "five billion, six hundred seventy-nine million, one hundred seventy-five thousand, six hundred eighty".