6886444032 has 264 divisors, whose sum is σ = 21593229840. Its totient is φ = 2101248000.

The previous prime is 6886444021. The next prime is 6886444043. The reversal of 6886444032 is 2304446886.

It is an interprime number because it is at equal distance from previous prime (6886444021) and next prime (6886444043).

It is a super-2 number, since 2×6886444032² = 94846222811736834048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27435907 + ... + 27436157.

Almost surely, 2^6886444032 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 6886444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10796614920).

6886444032 is an abundant number, since it is smaller than the sum of its proper divisors (14706785808).

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

6886444032 is a wasteful number, since it uses less digits than its factorization.

6886444032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 6886444032 is about 82984.6011739527. The cubic root of 6886444032 is about 1902.5307027139.

It can be divided in two parts, 68864 and 44032, that added together give a square (112896 = 336²).

The spelling of 6886444032 in words is "six billion, eight hundred eighty-six million, four hundred forty-four thousand, thirty-two".