5667623136 has 144 divisors (see below), whose sum is σ = 19102172544. Its totient is φ = 1619305344.

The previous prime is 5667623123. The next prime is 5667623161. The reversal of 5667623136 is 6313267665.

5667623136 is a `hidden beast` number, since 5 + 6 + 6 + 7 + 623 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 5667623091 and 5667623100.

It is a congruent number.

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, 2371 + ... + 106493.

It is an arithmetic number, because the mean of its divisors is an integer number (132653976).

Almost surely, 2^5667623136 is an apocalyptic number.

5667623136 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 5667623136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9551086272).

5667623136 is an abundant number, since it is smaller than the sum of its proper divisors (13434549408).

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

5667623136 is a wasteful number, since it uses less digits than its factorization.

5667623136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104155 (or 104135 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 5667623136 is about 75283.6179789468. The cubic root of 5667623136 is about 1782.9273817953.

The spelling of 5667623136 in words is "five billion, six hundred sixty-seven million, six hundred twenty-three thousand, one hundred thirty-six".