73461229600 has 216 divisors, whose sum is σ = 208722867444. Its totient is φ = 25141248000.

The previous prime is 73461229579. The next prime is 73461229603. The reversal of 73461229600 is 692216437.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 46540295824 + 26920933776 = 215732^2 + 164076^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (73461229603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1623280 + ... + 1667920.

Almost surely, 2^73461229600 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 73461229600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104361433722).

73461229600 is an abundant number, since it is smaller than the sum of its proper divisors (135261637844).

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

73461229600 is a wasteful number, since it uses less digits than its factorization.

73461229600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44700 (or 44676 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 73461229600 in words is "seventy-three billion, four hundred sixty-one million, two hundred twenty-nine thousand, six hundred".