6945601344 has 168 divisors, whose sum is σ = 20632424064. Its totient is φ = 2059622400.

The previous prime is 6945601339. The next prime is 6945601357. The reversal of 6945601344 is 4431065496.

It is a happy number.

It is a super-3 number, since 3×6945601344³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6945601296 and 6945601305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1088724 + ... + 1095084.

It is an arithmetic number, because the mean of its divisors is an integer number (122812048).

Almost surely, 2^6945601344 is an apocalyptic number.

6945601344 is a gapful number since it is divisible by the number (64) 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 6945601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10316212032).

6945601344 is an abundant number, since it is smaller than the sum of its proper divisors (13686822720).

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

6945601344 is a wasteful number, since it uses less digits than its factorization.

6945601344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6445 (or 6424 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 6945601344 is about 83340.2744415928. The cubic root of 6945601344 is about 1907.9630105914.

The spelling of 6945601344 in words is "six billion, nine hundred forty-five million, six hundred one thousand, three hundred forty-four".