73613371104 has 576 divisors, whose sum is σ = 273651436800. Its totient is φ = 19077037056.

The previous prime is 73613371093. The next prime is 73613371123. The reversal of 73613371104 is 40117331637.

73613371104 is a `hidden beast` number, since 7 + 3 + 613 + 37 + 1 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32470579 + ... + 32472845.

It is an arithmetic number, because the mean of its divisors is an integer number (475089300).

Almost surely, 2^73613371104 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 73613371104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136825718400).

73613371104 is an abundant number, since it is smaller than the sum of its proper divisors (200038065696).

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

73613371104 is a wasteful number, since it uses less digits than its factorization.

73613371104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 73613371104 in words is "seventy-three billion, six hundred thirteen million, three hundred seventy-one thousand, one hundred four".