73143985037760 has 2240 divisors, whose sum is σ = 346201308794880. Its totient is φ = 14224869457920.

The previous prime is 73143985037759. The next prime is 73143985037789. The reversal of 73143985037760 is 6773058934137.

It is a happy number.

73143985037760 is a `hidden beast` number, since 7 + 31 + 4 + 3 + 98 + 503 + 7 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1658158105 + ... + 1658202215.

It is an arithmetic number, because the mean of its divisors is an integer number (154554155712).

Almost surely, 2^{73143985037760} is an apocalyptic number.

73143985037760 is a gapful number since it is divisible by the number (70) 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 73143985037760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173100654397440).

73143985037760 is an abundant number, since it is smaller than the sum of its proper divisors (273057323757120).

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

73143985037760 is a wasteful number, since it uses less digits than its factorization.

73143985037760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44216 (or 44197 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 73143985037760 in words is "seventy-three trillion, one hundred forty-three billion, nine hundred eighty-five million, thirty-seven thousand, seven hundred sixty".