7969346445312 has 784 divisors, whose sum is σ = 27435805367040. Its totient is φ = 2266433519616.

The previous prime is 7969346445293. The next prime is 7969346445317. The reversal of 7969346445312 is 2135446439697.

It is a happy number.

7969346445312 is a `hidden beast` number, since 7 + 9 + 6 + 9 + 34 + 64 + 4 + 531 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7969346445312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7969346445317) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15843630853 + ... + 15843631355.

Almost surely, 2^{7969346445312} is an apocalyptic number.

7969346445312 is a gapful number since it is divisible by the number (72) 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 7969346445312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13717902683520).

7969346445312 is an abundant number, since it is smaller than the sum of its proper divisors (19466458921728).

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

7969346445312 is an frugal number, since it uses more digits than its factorization.

7969346445312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 894 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 7969346445312 in words is "seven trillion, nine hundred sixty-nine billion, three hundred forty-six million, four hundred forty-five thousand, three hundred twelve".