6944257474560 has 1040 divisors, whose sum is σ = 28842852446496. Its totient is φ = 1565515579392.

The previous prime is 6944257474507. The next prime is 6944257474589. The reversal of 6944257474560 is 654747524496.

6944257474560 is a `hidden beast` number, since 6 + 9 + 4 + 4 + 2 + 574 + 7 + 4 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 95126814684 + ... + 95126814756.

Almost surely, 2^{6944257474560} is an apocalyptic number.

6944257474560 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 6944257474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14421426223248).

6944257474560 is an abundant number, since it is smaller than the sum of its proper divisors (21898594971936).

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

6944257474560 is an frugal number, since it uses more digits than its factorization.

6944257474560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 6944257474560 in words is "six trillion, nine hundred forty-four billion, two hundred fifty-seven million, four hundred seventy-four thousand, five hundred sixty".