5631679872 has 640 divisors, whose sum is σ = 21232189440. Its totient is φ = 1442230272.

The previous prime is 5631679871. The next prime is 5631679891. The reversal of 5631679872 is 2789761365.

5631679872 is a `hidden beast` number, since 563 + 1 + 6 + 7 + 9 + 8 + 72 = 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 (5631679871) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44343873 + ... + 44343999.

It is an arithmetic number, because the mean of its divisors is an integer number (33175296).

It is a vampire number, since it can be written as 73152 ⋅ 76986 (with its own digits).

Almost surely, 2^5631679872 is an apocalyptic number.

5631679872 is a gapful number since it is divisible by the number (52) 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 5631679872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10616094720).

5631679872 is an abundant number, since it is smaller than the sum of its proper divisors (15600509568).

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

5631679872 is a wasteful number, since it uses less digits than its factorization.

5631679872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 199 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 5631679872 is about 75044.5192668992. The cubic root of 5631679872 is about 1779.1503616700.

The spelling of 5631679872 in words is "five billion, six hundred thirty-one million, six hundred seventy-nine thousand, eight hundred seventy-two".