73581861600 has 864 divisors, whose sum is σ = 298967052384. Its totient is φ = 16868966400.

The previous prime is 73581861571. The next prime is 73581861601. The reversal of 73581861600 is 616818537.

73581861600 is a `hidden beast` number, since 7 + 3 + 581 + 8 + 6 + 1 + 60 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73581861601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 208447024 + ... + 208447376.

It is an arithmetic number, because the mean of its divisors is an integer number (346026681).

Almost surely, 2^73581861600 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 73581861600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149483526192).

73581861600 is an abundant number, since it is smaller than the sum of its proper divisors (225385190784).

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

73581861600 is a wasteful number, since it uses less digits than its factorization.

73581861600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 73581861600 in words is "seventy-three billion, five hundred eighty-one million, eight hundred sixty-one thousand, six hundred".