5641767936 has 528 divisors, whose sum is σ = 20028503040. Its totient is φ = 1552711680.

The previous prime is 5641767919. The next prime is 5641767941. The reversal of 5641767936 is 6397671465.

It is a happy number.

5641767936 is a `hidden beast` number, since 564 + 1 + 7 + 6 + 79 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5715360) is a multiple of the sum of its prime factors (162).

It is a zygodrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71414745 + ... + 71414823.

Almost surely, 2^5641767936 is an apocalyptic number.

5641767936 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 5641767936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10014251520).

5641767936 is an abundant number, since it is smaller than the sum of its proper divisors (14386735104).

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

5641767936 is an equidigital number, since it uses as much as digits as its factorization.

5641767936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 132 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 5641767936 is about 75111.7030561816. The cubic root of 5641767936 is about 1780.2120624340.

The spelling of 5641767936 in words is "five billion, six hundred forty-one million, seven hundred sixty-seven thousand, nine hundred thirty-six".