5944417920 has 384 divisors, whose sum is σ = 23581584000. Its totient is φ = 1351655424.

The previous prime is 5944417909. The next prime is 5944417933. The reversal of 5944417920 is 297144495.

5944417920 is a `hidden beast` number, since 594 + 44 + 17 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5944417920² = 70672208815234252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 15281086 + ... + 15281474.

It is an arithmetic number, because the mean of its divisors is an integer number (61410375).

Almost surely, 2^5944417920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5944417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11790792000).

5944417920 is an abundant number, since it is smaller than the sum of its proper divisors (17637166080).

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

5944417920 is a wasteful number, since it uses less digits than its factorization.

5944417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5944417920 is about 77100.0513618506. The cubic root of 5944417920 is about 1811.4921021433.

The spelling of 5944417920 in words is "five billion, nine hundred forty-four million, four hundred seventeen thousand, nine hundred twenty".