6944084951040 has 896 divisors, whose sum is σ = 25539159366720. Its totient is φ = 1810891800576.

The previous prime is 6944084951033. The next prime is 6944084951071. The reversal of 6944084951040 is 401594804496.

6944084951040 is a `hidden beast` number, since 6 + 9 + 4 + 4 + 0 + 84 + 9 + 510 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5613649302 + ... + 5613650538.

Almost surely, 2^{6944084951040} is an apocalyptic number.

6944084951040 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 6944084951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12769579683360).

6944084951040 is an abundant number, since it is smaller than the sum of its proper divisors (18595074415680).

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

6944084951040 is an frugal number, since it uses more digits than its factorization.

6944084951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 6944084951040 in words is "six trillion, nine hundred forty-four billion, eighty-four million, nine hundred fifty-one thousand, forty".