6944155920 has 600 divisors, whose sum is σ = 27726401736. Its totient is φ = 1604468736.

The previous prime is 6944155909. The next prime is 6944155921. The reversal of 6944155920 is 295514496.

6944155920 is a `hidden beast` number, since 6 + 9 + 44 + 15 + 592 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2777711616 + 4166444304 = 52704^2 + 64548^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6944155921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18616854 + ... + 18617226.

Almost surely, 2^6944155920 is an apocalyptic number.

6944155920 is a gapful number since it is divisible by the number (60) 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 6944155920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13863200868).

6944155920 is an abundant number, since it is smaller than the sum of its proper divisors (20782245816).

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

6944155920 is a wasteful number, since it uses less digits than its factorization.

6944155920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 6944155920 is about 83331.6021686851. The cubic root of 6944155920 is about 1907.8306483130.

The spelling of 6944155920 in words is "six billion, nine hundred forty-four million, one hundred fifty-five thousand, nine hundred twenty".