5879623680 has 832 divisors, whose sum is σ = 25162752000. Its totient is φ = 1300561920.

The previous prime is 5879623661. The next prime is 5879623681. The reversal of 5879623680 is 863269785.

It is a happy number.

5879623680 is a `hidden beast` number, since 5 + 8 + 7 + 9 + 623 + 6 + 8 + 0 = 666.

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 (5879623681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189665265 + ... + 189665295.

Almost surely, 2^5879623680 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 5879623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12581376000).

5879623680 is an abundant number, since it is smaller than the sum of its proper divisors (19283128320).

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

5879623680 is an equidigital number, since it uses as much as digits as its factorization.

5879623680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 5879623680 is about 76678.7042144036. The cubic root of 5879623680 is about 1804.8862792615.

The spelling of 5879623680 in words is "five billion, eight hundred seventy-nine million, six hundred twenty-three thousand, six hundred eighty".