73666857200 has 120 divisors (see below), whose sum is σ = 180790392960. Its totient is φ = 28837600000.

The previous prime is 73666857179. The next prime is 73666857203. The reversal of 73666857200 is 275866637.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73666857203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5350325 + ... + 5364075.

It is an arithmetic number, because the mean of its divisors is an integer number (1506586608).

Almost surely, 2^73666857200 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 73666857200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90395196480).

73666857200 is an abundant number, since it is smaller than the sum of its proper divisors (107123535760).

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

73666857200 is a wasteful number, since it uses less digits than its factorization.

73666857200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14055 (or 14044 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 50.

The spelling of 73666857200 in words is "seventy-three billion, six hundred sixty-six million, eight hundred fifty-seven thousand, two hundred".