73849537600 has 168 divisors, whose sum is σ = 183503255040. Its totient is φ = 29250846720.

The previous prime is 73849537549. The next prime is 73849537609. The reversal of 73849537600 is 673594837.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (73849537609) 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, 127988512 + ... + 127989088.

It is an arithmetic number, because the mean of its divisors is an integer number (1092281280).

Almost surely, 2^73849537600 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 73849537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91751627520).

73849537600 is an abundant number, since it is smaller than the sum of its proper divisors (109653717440).

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

73849537600 is a wasteful number, since it uses less digits than its factorization.

73849537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 52.

The spelling of 73849537600 in words is "seventy-three billion, eight hundred forty-nine million, five hundred thirty-seven thousand, six hundred".