73579487320188 has 240 divisors, whose sum is σ = 201607047882240. Its totient is φ = 23452369452864.

The previous prime is 73579487320187. The next prime is 73579487320223. The reversal of 73579487320188 is 88102378497537.

73579487320188 is a `hidden beast` number, since 7 + 3 + 579 + 4 + 8 + 7 + 32 + 0 + 18 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73579487320187) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8324408673 + ... + 8324417511.

It is an arithmetic number, because the mean of its divisors is an integer number (840029366176).

Almost surely, 2^{73579487320188} 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 73579487320188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100803523941120).

73579487320188 is an abundant number, since it is smaller than the sum of its proper divisors (128027560562052).

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

73579487320188 is an equidigital number, since it uses as much as digits as its factorization.

73579487320188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13490 (or 13464 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 73579487320188 in words is "seventy-three trillion, five hundred seventy-nine billion, four hundred eighty-seven million, three hundred twenty thousand, one hundred eighty-eight".