6944071680 has 1120 divisors, whose sum is σ = 31971227904. Its totient is φ = 1401421824.

The previous prime is 6944071669. The next prime is 6944071733. The reversal of 6944071680 is 861704496.

6944071680 is a `hidden beast` number, since 69 + 440 + 71 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 301916149 + ... + 301916171.

Almost surely, 2^6944071680 is an apocalyptic number.

6944071680 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 6944071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15985613952).

6944071680 is an abundant number, since it is smaller than the sum of its proper divisors (25027156224).

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

6944071680 is a wasteful number, since it uses less digits than its factorization.

6944071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6944071680 is about 83331.0967166519. The cubic root of 6944071680 is about 1907.8229336099.

The spelling of 6944071680 in words is "six billion, nine hundred forty-four million, seventy-one thousand, six hundred eighty".