73609101926400 has 672 divisors, whose sum is σ = 250662921287328. Its totient is φ = 19045181030400.

The previous prime is 73609101926357. The next prime is 73609101926407. The reversal of 73609101926400 is 462910190637.

73609101926400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×73609101926400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 73609101926400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73609101926407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8479330060 + ... + 8479338740.

Almost surely, 2^{73609101926400} 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 73609101926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125331460643664).

73609101926400 is an abundant number, since it is smaller than the sum of its proper divisors (177053819360928).

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

73609101926400 is a wasteful number, since it uses less digits than its factorization.

73609101926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9130 (or 9101 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 73609101926400 in words is "seventy-three trillion, six hundred nine billion, one hundred one million, nine hundred twenty-six thousand, four hundred".