5641920000 has 400 divisors, whose sum is σ = 20900872080. Its totient is φ = 1502208000.

The previous prime is 5641919981. The next prime is 5641920001. The reversal of 5641920000 is 291465.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×5641920000² = 63662522572800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5641920001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8639674 + ... + 8640326.

Almost surely, 2^5641920000 is an apocalyptic number.

5641920000 is a gapful number since it is divisible by the number (50) 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 5641920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10450436040).

5641920000 is an abundant number, since it is smaller than the sum of its proper divisors (15258952080).

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

5641920000 is an frugal number, since it uses more digits than its factorization.

5641920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5641920000 is about 75112.7153017384. The cubic root of 5641920000 is about 1780.2280564592.

The spelling of 5641920000 in words is "five billion, six hundred forty-one million, nine hundred twenty thousand".