1073080672000 has 288 divisors, whose sum is σ = 2726746364160. Its totient is φ = 420676505600.

The previous prime is 1073080671991. The next prime is 1073080672003. The reversal of 1073080672000 is 2760803701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073080672003) 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, 836383359 + ... + 836384641.

It is an arithmetic number, because the mean of its divisors is an integer number (9467869320).

Almost surely, 2^{1073080672000} is an apocalyptic number.

1073080672000 is a gapful number since it is divisible by the number (10) 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 1073080672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363373182080).

1073080672000 is an abundant number, since it is smaller than the sum of its proper divisors (1653665692160).

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

1073080672000 is an equidigital number, since it uses as much as digits as its factorization.

1073080672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 1073080672000 in words is "one trillion, seventy-three billion, eighty million, six hundred seventy-two thousand".