7473447438912 has 1008 divisors, whose sum is σ = 28169582837760. Its totient is φ = 1874058633216.

The previous prime is 7473447438901. The next prime is 7473447438913. The reversal of 7473447438912 is 2198347443747.

It is a happy number.

7473447438912 is a `hidden beast` number, since 7 + 4 + 73 + 4 + 47 + 438 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7473447438912.

It is not an unprimeable number, because it can be changed into a prime (7473447438913) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1459940289 + ... + 1459945407.

It is an arithmetic number, because the mean of its divisors is an integer number (27946014720).

Almost surely, 2^{7473447438912} is an apocalyptic number.

7473447438912 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 7473447438912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14084791418880).

7473447438912 is an abundant number, since it is smaller than the sum of its proper divisors (20696135398848).

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

7473447438912 is a wasteful number, since it uses less digits than its factorization.

7473447438912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5360 (or 5340 counting only the distinct ones).

The product of its digits is 113799168, while the sum is 63.

The spelling of 7473447438912 in words is "seven trillion, four hundred seventy-three billion, four hundred forty-seven million, four hundred thirty-eight thousand, nine hundred twelve".