1073448264672 has 960 divisors, whose sum is σ = 3921905433600. Its totient is φ = 281190113280.

The previous prime is 1073448264611. The next prime is 1073448264689. The reversal of 1073448264672 is 2764628443701.

1073448264672 is a `hidden beast` number, since 1 + 0 + 7 + 34 + 482 + 64 + 6 + 72 = 666.

1073448264672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 159 ways as a sum of consecutive naturals, for example, 2445212229 + ... + 2445212667.

It is an arithmetic number, because the mean of its divisors is an integer number (4085318160).

Almost surely, 2^{1073448264672} is an apocalyptic number.

1073448264672 is a gapful number since it is divisible by the number (12) 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 1073448264672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960952716800).

1073448264672 is an abundant number, since it is smaller than the sum of its proper divisors (2848457168928).

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

1073448264672 is a wasteful number, since it uses less digits than its factorization.

1073448264672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 1073448264672 in words is "one trillion, seventy-three billion, four hundred forty-eight million, two hundred sixty-four thousand, six hundred seventy-two".