5979634144 has 108 divisors (see below), whose sum is σ = 13379117976. Its totient is φ = 2628700800.

The previous prime is 5979634097. The next prime is 5979634147. The reversal of 5979634144 is 4414369795.

It is a super-2 number, since 2×5979634144² = 71512048992181225472, which contains 22 as substring.

Its product of digits (3265920) is a multiple of the sum of its prime factors (1701).

It is a junction number, because it is equal to n+sod(n) for n = 5979634091 and 5979634100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5979634147) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 3720189 + ... + 3721795.

It is an arithmetic number, because the mean of its divisors is an integer number (123880722).

Almost surely, 2^5979634144 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 5979634144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6689558988).

5979634144 is an abundant number, since it is smaller than the sum of its proper divisors (7399483832).

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

5979634144 is a wasteful number, since it uses less digits than its factorization.

5979634144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1651 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 52.

The square root of 5979634144 is about 77328.0941443664. The cubic root of 5979634144 is about 1815.0623057889.

The spelling of 5979634144 in words is "five billion, nine hundred seventy-nine million, six hundred thirty-four thousand, one hundred forty-four".