73155975984000 has 2048 divisors, whose sum is σ = 346063850496000. Its totient is φ = 14763832934400.

The previous prime is 73155975983999. The next prime is 73155975984029. The reversal of 73155975984000 is 48957955137.

73155975984000 is a `hidden beast` number, since 7 + 3 + 1 + 55 + 97 + 5 + 98 + 400 + 0 = 666.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 904135546 + ... + 904216454.

It is an arithmetic number, because the mean of its divisors is an integer number (168976489500).

Almost surely, 2^{73155975984000} is an apocalyptic number.

73155975984000 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 73155975984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173031925248000).

73155975984000 is an abundant number, since it is smaller than the sum of its proper divisors (272907874512000).

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

73155975984000 is a wasteful number, since it uses less digits than its factorization.

73155975984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80990 (or 80962 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 63.

The spelling of 73155975984000 in words is "seventy-three trillion, one hundred fifty-five billion, nine hundred seventy-five million, nine hundred eighty-four thousand".