6973746861744 has 480 divisors, whose sum is σ = 23169309194304. Its totient is φ = 1938023055360.

The previous prime is 6973746861743. The next prime is 6973746861791. The reversal of 6973746861744 is 4471686473796.

6973746861744 is a `hidden beast` number, since 6 + 9 + 7 + 37 + 468 + 61 + 74 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (6973746861743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85916059 + ... + 85997189.

Almost surely, 2^{6973746861744} 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 6973746861744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11584654597152).

6973746861744 is an abundant number, since it is smaller than the sum of its proper divisors (16195562332560).

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

6973746861744 is a wasteful number, since it uses less digits than its factorization.

6973746861744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81285 (or 81276 counting only the distinct ones).

The product of its digits is 1024192512, while the sum is 72.

The spelling of 6973746861744 in words is "six trillion, nine hundred seventy-three billion, seven hundred forty-six million, eight hundred sixty-one thousand, seven hundred forty-four".