10073345405760 has 1344 divisors, whose sum is σ = 45303150057984. Its totient is φ = 2073467289600.

The previous prime is 10073345405759. The next prime is 10073345405789. The reversal of 10073345405760 is 6750454337001.

10073345405760 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 3 + 34 + 5 + 40 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 290105200 + ... + 290139920.

It is an arithmetic number, because the mean of its divisors is an integer number (33707700936).

Almost surely, 2^{10073345405760} is an apocalyptic number.

10073345405760 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 10073345405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22651575028992).

10073345405760 is an abundant number, since it is smaller than the sum of its proper divisors (35229804652224).

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

10073345405760 is a wasteful number, since it uses less digits than its factorization.

10073345405760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34814 (or 34792 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 10073345405760 in words is "ten trillion, seventy-three billion, three hundred forty-five million, four hundred five thousand, seven hundred sixty".