73641407140224 has 2048 divisors, whose sum is σ = 292387553280000. Its totient is φ = 17669610086400.

The previous prime is 73641407140123. The next prime is 73641407140253. The reversal of 73641407140224 is 42204170414637.

73641407140224 is a `hidden beast` number, since 7 + 3 + 6 + 4 + 1 + 407 + 14 + 0 + 224 = 666.

73641407140224 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 73641407140224.

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, 102421984537 + ... + 102421985255.

It is an arithmetic number, because the mean of its divisors is an integer number (142767360000).

Almost surely, 2^{73641407140224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73641407140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146193776640000).

73641407140224 is an abundant number, since it is smaller than the sum of its proper divisors (218746146139776).

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

73641407140224 is a wasteful number, since it uses less digits than its factorization.

73641407140224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 73641407140224 in words is "seventy-three trillion, six hundred forty-one billion, four hundred seven million, one hundred forty thousand, two hundred twenty-four".