73238340188160 has 2880 divisors, whose sum is σ = 317130182328960. Its totient is φ = 16106158817280.

The previous prime is 73238340188131. The next prime is 73238340188173. The reversal of 73238340188160 is 6188104383237.

It is a happy number.

73238340188160 is a `hidden beast` number, since 7 + 3 + 23 + 83 + 401 + 8 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 73238340188097 and 73238340188106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 169926543145 + ... + 169926543575.

It is an arithmetic number, because the mean of its divisors is an integer number (110114646642).

Almost surely, 2^{73238340188160} is an apocalyptic number.

73238340188160 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 73238340188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158565091164480).

73238340188160 is an abundant number, since it is smaller than the sum of its proper divisors (243891842140800).

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

73238340188160 is a wasteful number, since it uses less digits than its factorization.

73238340188160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 73238340188160 in words is "seventy-three trillion, two hundred thirty-eight billion, three hundred forty million, one hundred eighty-eight thousand, one hundred sixty".