7942468269312 has 288 divisors, whose sum is σ = 24461870549760. Its totient is φ = 2539649064960.

The previous prime is 7942468269311. The next prime is 7942468269317. The reversal of 7942468269312 is 2139628642497.

7942468269312 is a `hidden beast` number, since 79 + 4 + 2 + 468 + 2 + 6 + 93 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 7942468269312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7942468269311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17939118 + ... + 18376530.

It is an arithmetic number, because the mean of its divisors is an integer number (84937050520).

Almost surely, 2^{7942468269312} is an apocalyptic number.

7942468269312 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 7942468269312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12230935274880).

7942468269312 is an abundant number, since it is smaller than the sum of its proper divisors (16519402280448).

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

7942468269312 is a wasteful number, since it uses less digits than its factorization.

7942468269312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437546 (or 437526 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 7942468269312 in words is "seven trillion, nine hundred forty-two billion, four hundred sixty-eight million, two hundred sixty-nine thousand, three hundred twelve".