73334116800 has 672 divisors, whose sum is σ = 307320330240. Its totient is φ = 16663449600.

The previous prime is 73334116789. The next prime is 73334116829. The reversal of 73334116800 is 861143337.

It is a tau number, because it is divible by the number of its divisors (672).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59572185 + ... + 59573415.

It is an arithmetic number, because the mean of its divisors is an integer number (457321920).

Almost surely, 2^73334116800 is an apocalyptic number.

73334116800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73334116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153660165120).

73334116800 is an abundant number, since it is smaller than the sum of its proper divisors (233986213440).

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

73334116800 is a wasteful number, since it uses less digits than its factorization.

73334116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 73334116800 in words is "seventy-three billion, three hundred thirty-four million, one hundred sixteen thousand, eight hundred".