6380112564 has 72 divisors (see below), whose sum is σ = 18467059520. Its totient is φ = 1819366272.

The previous prime is 6380112523. The next prime is 6380112569. The reversal of 6380112564 is 4652110836.

It is a happy number.

6380112564 is a `hidden beast` number, since 6 + 3 + 80 + 1 + 12 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6380112569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107592 + ... + 156000.

Almost surely, 2^6380112564 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 6380112564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9233529760).

6380112564 is an abundant number, since it is smaller than the sum of its proper divisors (12086946956).

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

6380112564 is a wasteful number, since it uses less digits than its factorization.

6380112564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48949 (or 48944 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6380112564 is about 79875.6068145964. The cubic root of 6380112564 is about 1854.7104275990.

It can be divided in two parts, 6380112 and 564, that added together give a square (6380676 = 2526²).

The spelling of 6380112564 in words is "six billion, three hundred eighty million, one hundred twelve thousand, five hundred sixty-four".