5946789576 has 192 divisors, whose sum is σ = 18830085120. Its totient is φ = 1531595520.

The previous prime is 5946789559. The next prime is 5946789577. The reversal of 5946789576 is 6759876495.

It is a super-2 number, since 2×5946789576² = 70728612522444519552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5946789577) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1218421 + ... + 1223291.

It is an arithmetic number, because the mean of its divisors is an integer number (98073360).

Almost surely, 2^5946789576 is an apocalyptic number.

5946789576 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5946789576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9415042560).

5946789576 is an abundant number, since it is smaller than the sum of its proper divisors (12883295544).

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

5946789576 is a wasteful number, since it uses less digits than its factorization.

5946789576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4956 (or 4939 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 66.

The square root of 5946789576 is about 77115.4302069307. The cubic root of 5946789576 is about 1811.7329816227.

The spelling of 5946789576 in words is "five billion, nine hundred forty-six million, seven hundred eighty-nine thousand, five hundred seventy-six".