73804608000 has 800 divisors, whose sum is σ = 287335002240. Its totient is φ = 18795110400.

The previous prime is 73804607999. The next prime is 73804608001. The reversal of 73804608000 is 80640837.

It is an interprime number because it is at equal distance from previous prime (73804607999) and next prime (73804608001).

It is a tau number, because it is divible by the number of its divisors (800).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73804608001) 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, 119231691 + ... + 119232309.

Almost surely, 2^73804608000 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 73804608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143667501120).

73804608000 is an abundant number, since it is smaller than the sum of its proper divisors (213530394240).

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

73804608000 is an equidigital number, since it uses as much as digits as its factorization.

73804608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 73804608000 in words is "seventy-three billion, eight hundred four million, six hundred eight thousand".