6946757440 has 168 divisors, whose sum is σ = 19907539560. Its totient is φ = 2299465728.

The previous prime is 6946757423. The next prime is 6946757507. The reversal of 6946757440 is 447576496.

It can be written as a sum of positive squares in 4 ways, for example, as 49787136 + 6896970304 = 7056^2 + 83048^2 .

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, 447082 + ... + 462358.

Almost surely, 2^6946757440 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 6946757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9953769780).

6946757440 is an abundant number, since it is smaller than the sum of its proper divisors (12960782120).

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

6946757440 is a wasteful number, since it uses less digits than its factorization.

6946757440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15337 (or 15320 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

The square root of 6946757440 is about 83347.2101512702. The cubic root of 6946757440 is about 1908.0688649262.

The spelling of 6946757440 in words is "six billion, nine hundred forty-six million, seven hundred fifty-seven thousand, four hundred forty".