5641368096 has 384 divisors, whose sum is σ = 19356696576. Its totient is φ = 1398435840.

The previous prime is 5641368011. The next prime is 5641368143. The reversal of 5641368096 is 6908631465.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10019911 + ... + 10020473.

It is an arithmetic number, because the mean of its divisors is an integer number (50408064).

Almost surely, 2^5641368096 is an apocalyptic number.

5641368096 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 5641368096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9678348288).

5641368096 is an abundant number, since it is smaller than the sum of its proper divisors (13715328480).

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

5641368096 is a wasteful number, since it uses less digits than its factorization.

5641368096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 5641368096 is about 75109.0413731929. The cubic root of 5641368096 is about 1780.1700060660.

The spelling of 5641368096 in words is "five billion, six hundred forty-one million, three hundred sixty-eight thousand, ninety-six".